IGNOU MTE 8 SOLVED ASSIGNMENT HINDI

Login×

Forgot Password? Sign Up

You are Here : BACHELOR DEGREE PROGRAMMES / BSC / MTE 8

This Price is Only For Today, Buy Now.. Before Offer Ends Buy Now..

Click Here to Order on WhatsApp

IGNOU MTE 8 SOLVED ASSIGNMENT HINDI

~~Rs. 80~~
Rs. 41

IGNOU MTE 8 SOLVED ASSIGNMENT HINDI

~~Rs. 80~~
Rs. 41

Last Date of Submission of IGNOU MTE-08 (BSC) 2026 Assignment is for January 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).
Semester Wise
January 2026 Session: 30th March, 2026 (for June 2026 Term End Exam).
July 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).

Title Name	IGNOU MTE 8 SOLVED ASSIGNMENT HINDI
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BSC
Course Name	Bachelor in Science
Subject Code	MTE 8
Subject Name	Differential Equations
Year	2026
Session
Language	English Medium
Assignment Code	MTE-08/Assignmentt-1//2026
Product Description	Assignment of BSC (Bachelor in Science) 2026. Latest MTE 08 2026 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission	Last Date of Submission of IGNOU MTE-08 (BSC) 2026 Assignment is for January 2026 Session: 30th September, 2026 (for December 2026 Term End Exam). Semester Wise January 2026 Session: 30th March, 2026 (for June 2026 Term End Exam). July 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).

~~Rs. 80~~
Rs. 41

Questions Included in this Help Book

Ques 1.

. State whether the following statement are true or false. Justify your answer with the help of a short proof or a counter-example.
i) The initial value problem

$$\frac{dy}{dx} = x^2 + y^2, \quad y(0) = 0$

has a unique solution in some interval of the form -h < x < h.
ii) The orthogonal trajectories of all the parabolas with vertices at the origin and foci on the x-axis is $x^2 + 2y^2 = c^2$ .
iii) The normal form of the differential equation

$$\frac{d^2v}{dx^2} + v = -3 \sin 2x, \text{ where } v = ye^{-x^2}.$
iv) The solution of the pde $\frac{\partial z}{\partial x} + \frac{\partial z}{\partial y} = z^2$ is $z = -[y + f(x - y)]^{-1}$ . (Note: The image appears to have a small typo in the solution provided, it should likely be to the power of -1 based on standard solutions, however, transcribing exactly as seen: $z = -[y + f(x - y)]$ .)
v) The pde $u_{xx} + x^2 u_{xy} - \left( \frac{x^2}{2} + \frac{1}{4} \right) u_{yy} = 0$ is hyperbolic in the entire xy-plane.

Ques 2.

Solve $\frac{dy}{dx} + xy = y^2 e^{x^2/2} \sin x$ .
b) Write the ordinary differential equation

$$y \, dx + (xy + x - 3y) \, dy = 0$

in the linear form, and hence find its solution.
c) Given that $y_1(x) = x^{-1}$ is one solution of the differential equation

$$2x^2y'' + 3xy' - y = 0, \quad x > 0,$

find a second linearly independent solution of the equation.

Ques 3.

Solve, using the method of variation of parameters

$$\frac{d^2y}{dx^2} - y = \frac{2}{1 + e^x}.$
b) Solve the following equation by changing the independent variable

$$(1 + x^2)^2 y'' + 2x(1 + x^2) y' + 4y = 0.$

Ques 4.

Find the integrating factor of the differential equation

$$(6xy - 3y^2 + 2y) \, dx + 2(x - y) \, dy = 0$

and hence solve it.

b) Solve the equation $x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} + y = x^m$ , for all positive integer values of m.
c) Solve the following IVP

$$\frac{d^2y}{dx^2} + \frac{dy}{dx} - 2y = -6 \sin 2x - 18 \cos 2x$

$$y(0) = 2, \quad y'(0) = 2.$

Ques 5.

Solve: $\frac{d^2y}{dx^2} - 2 \tan x \frac{dy}{dx} + 5y = e^x \sec x$ .
b) Find the charge on the capacitor in an RLC circuit at $t = 0.01$ sec. when $L = 0.05$ Henry, $R = 2$ ohms, $C = 0.01$ Farad. $E(t) = 0, q(0) = 5 \text{ Columbus and } i(0) = 0$ .
c) Solve: $x \frac{dy}{dx} + y \ln y = x y e^x$ .

Ques 6.

Solve the following DEs
(i) $\left( \frac{dy}{dx} - 1 \right)^2 \left( \frac{d^2y}{dx^2} + 1 \right)^2 y = \sin^2(x/2) + e^x + x$ .
(ii) $2x^2y \left( \frac{d^2y}{dx^2} \right) + 4y^2 = x^2 \left( \frac{dy}{dx} \right)^2 + 2xy \left( \frac{dy}{dx} \right)$ .
b) The differential equation of a damped vibrating system under the action of an external periodic force is:

$$\frac{d^2x}{dt^2} + 2m_0 \frac{dx}{dt} + n^2x = a \cos pt$

Show that, if n > m₀ > 0 the complementary function of the differential equation represents vibrations which are soon damped out. Find the particular integral in terms of periodic functions.

Ques 7.

Verify that the Pfaffian differential equation

$$yz \, dx + (x^2y - zx) \, dy + (x^2z - xy) \, dz = 0$

is integrable and hence find its integral.
b) Solve the following equation by Jacobi's method

$$x^2 \frac{\partial u}{\partial x} - \left( \frac{\partial u}{\partial y} \right)^2 - a \left( \frac{\partial u}{\partial z} \right)^2 = 0.$
c) Show that $2z = (ax + y)^2 + b$ , where a, b are arbitrary constants is a complete integral of $px + qy - q^2 = 0$ .

Ques 8.

Solve the following differential equations

(i) $x^2p + y^2q = (x + y) z$ .

(ii) $\sqrt{p} - \sqrt{q} + 3x = 0$ .

b) Find the equation of the integral surface of the differential equation

$$(x^2 - yz) \, p + (y^2 - zx) \, q = z^2 - xy$

which passes through the line $x = 1, y = 0$ .

Ques 9.

Using the method of separation of variables, solve $u_{xt} = e^{-t} \cos x$ when

$$u(x, 0) = 0, \frac{\partial u}{\partial t}(0, t) = 0.$
b) Find the temperature in a bar of length $\ell$ with both ends insulated and with initial temperature in the rod being $\sin \frac{\pi x}{\ell}$ .

Ques 10.

Solve the following differential equations

(i) $[D^3 - DD'^2 - D^2 + DD'] \, z = 0$ .

(ii) $[D^4 - D'^4 - 2D^2 D'^2] \, z = 0$ .

(iii) $[D^2 - 2DD' + D'^2] \, z = 12xy$ .
b) Show that the wave equation $a^2 u_{xx} = u_{tt}$ can be reduced to the form $u_{\xi\eta} = 0$ by the change of variable $\xi = x - at, \eta = x + at$ .

Ques 11.

. State whether the following statement are true or false. Justify your answer with the help of a short proof or a counter-example.
i) The initial value problem

$$\frac{dy}{dx} = x^2 + y^2, \quad y(0) = 0$

Ques 12.

Solve $\frac{dy}{dx} + xy = y^2 e^{x^2/2} \sin x$ .
b) Write the ordinary differential equation

$$y \, dx + (xy + x - 3y) \, dy = 0$

in the linear form, and hence find its solution.
c) Given that $y_1(x) = x^{-1}$ is one solution of the differential equation

$$2x^2y'' + 3xy' - y = 0, \quad x > 0,$

find a second linearly independent solution of the equation.

Ques 13.

Solve, using the method of variation of parameters

$$\frac{d^2y}{dx^2} - y = \frac{2}{1 + e^x}.$
b) Solve the following equation by changing the independent variable

$$(1 + x^2)^2 y'' + 2x(1 + x^2) y' + 4y = 0.$

Ques 14.

Find the integrating factor of the differential equation

$$(6xy - 3y^2 + 2y) \, dx + 2(x - y) \, dy = 0$

and hence solve it.

b) Solve the equation $x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} + y = x^m$ , for all positive integer values of m.
c) Solve the following IVP

$$\frac{d^2y}{dx^2} + \frac{dy}{dx} - 2y = -6 \sin 2x - 18 \cos 2x$

$$y(0) = 2, \quad y'(0) = 2.$

Ques 15.

Ques 16.

$$\frac{d^2x}{dt^2} + 2m_0 \frac{dx}{dt} + n^2x = a \cos pt$

Show that, if n > m₀ > 0 the complementary function of the differential equation represents vibrations which are soon damped out. Find the particular integral in terms of periodic functions.

Ques 17.

Verify that the Pfaffian differential equation

$$yz \, dx + (x^2y - zx) \, dy + (x^2z - xy) \, dz = 0$

is integrable and hence find its integral.
b) Solve the following equation by Jacobi's method

Ques 18.

Solve the following differential equations

(i) $x^2p + y^2q = (x + y) z$ .

(ii) $\sqrt{p} - \sqrt{q} + 3x = 0$ .

b) Find the equation of the integral surface of the differential equation

$$(x^2 - yz) \, p + (y^2 - zx) \, q = z^2 - xy$

which passes through the line $x = 1, y = 0$ .

Ques 19.

Using the method of separation of variables, solve $u_{xt} = e^{-t} \cos x$ when

Ques 20.

Solve the following differential equations

(i) $[D^3 - DD'^2 - D^2 + DD'] \, z = 0$ .

(ii) $[D^4 - D'^4 - 2D^2 D'^2] \, z = 0$ .

(iii) $[D^2 - 2DD' + D'^2] \, z = 12xy$ .
b) Show that the wave equation $a^2 u_{xx} = u_{tt}$ can be reduced to the form $u_{\xi\eta} = 0$ by the change of variable $\xi = x - at, \eta = x + at$ .

~~Rs. 80~~
Rs. 41

Details

Latest IGNOU Solved Assignment
IGNOU MTE 8 2026 Solved Assignment
IGNOU 2026 Solved Assignment
IGNOU BSC Bachelor in Science 2026 Solved Assignment
IGNOU MTE 8 Differential Equations 2026 Solved Assignment

Looking for IGNOU MTE 8 Solved Assignment 2026. You are on the Right Website. We provide Help book of Solved Assignment of BSC MTE 8 - Differential Equationsof year 2026 of very low price.
If you want this Help Book of IGNOU MTE 8 2026 Simply Call Us @ 9199852182 / 9852900088 or you can whatsApp Us @ 9199852182

IGNOU BSC Assignments Jan - July 2025 - IGNOU University has uploaded its current session Assignment of the BSC Programme for the session year 2026. Students of the BSC Programme can now download Assignment questions from this page. Candidates have to compulsory download those assignments to get a permit of attending the Term End Exam of the IGNOU BSC Programme.

Download a PDF soft copy of IGNOU MTE 8 Differential Equations BSC Latest Solved Assignment for Session January 2025 - December 2025 in English Language.

If you are searching out Ignou BSC MTE 8 solved assignment? So this platform is the high-quality platform for Ignou BSC MTE 8 solved assignment. Solved Assignment Soft Copy & Hard Copy. We will try to solve all the problems related to your Assignment. All the questions were answered as per the guidelines. The goal of IGNOU Solution is democratizing higher education by taking education to the doorsteps of the learners and providing access to high quality material. Get the solved assignment for MTE 8 Differential Equations course offered by IGNOU for the year 2026.Are you a student of high IGNOU looking for high quality and accurate IGNOU MTE 8 Solved Assignment 2026 English Medium?

Students who are searching for IGNOU Bachelor in Science (BSC) Solved Assignments 2026 at low cost. We provide all Solved Assignments, Project reports for Masters & Bachelor students for IGNOU. Get better grades with our assignments! ensuring that our IGNOU Bachelor in Science Solved Assignment meet the highest standards of quality and accuracy.Here you will find some assignment solutions for IGNOU BSC Courses that you can download and look at. All assignments provided here have been solved.IGNOU MTE 8 SOLVED ASSIGNMENT 2026. Title Name MTE 8 English Solved Assignment 2026. Service Type Solved Assignment (Soft copy/PDF).

Are you an IGNOU student who wants to download IGNOU Solved Assignment 2024? IGNOU BACHELOR DEGREE PROGRAMMES Solved Assignment 2023-24 Session. IGNOU Solved Assignment and In this post, we will provide you with all solved assignments.

If you’ve arrived at this page, you’re looking for a free PDF download of the IGNOU BSC Solved Assignment 2026. BSC is for Bachelor in Science.

IGNOU solved assignments are a set of questions or tasks that students must complete and submit to their respective study centers. The solved assignments are provided by IGNOU Academy and must be completed by the students themselves.

Course Name	Bachelor in Science
Course Code	BSC
Programm	BACHELOR DEGREE PROGRAMMES Courses
Language	English

IGNOU MTE 8 Solved Assignment

ignou assignment 2026, 2026 MTE 8

IGNOU MTE 8 Assignment

ignou solved assignment MTE 8

MTE 8 Assignment 2026

solved assignment MTE 8

MTE 8 Assignment 2026

assignment of ignou MTE 8

Download IGNOU MTE 8 Solved Assignment 2026

ignou assignments MTE 8

Ignou result MTE 8

Ignou Assignment Solution MTE 8

Comments

New to IGNOU Login to Get Every Update

Login×

My Cart

IGNOU MTE 8 SOLVED ASSIGNMENT HINDI

IGNOU MTE 8 SOLVED ASSIGNMENT HINDI

Comments