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ProgramsBCASemester 2Mathematics IIUnit 5: Differential Equations (7Hrs)
Chapter Study

BCA Semester 2 – Mathematics II – Unit 5: Differential Equations (7Hrs)

Comprehensive questions and detailed answers for Unit 5: Differential Equations (7Hrs). Perfect for exam preparation and concept clarity.

4
Questions
25
Marks
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1

Solve:sin⁡xdydx+(cos⁡x)y=−sin⁡xcos⁡x\sin x \frac{dy}{dx} + (\cos x)y = -\sin x \cos x sinxdxdy​+(cosx)y=−sinxcosx

MediumNumerical5 marks2022(TU FOHSS Final)
2

Solve the differential equation:

2dydx=2yx+y2x22\frac{dy}{dx} = \frac{2y}{x} + \frac{y^2}{x^2}2dxdy​=x2y​+x2y2​
MediumNumerical5 marks2023(TU FOHSS Final)
3

Solve the differential equation:

xdydx+2y=x2log⁡x\quad x\frac{dy}{dx} + 2y = x^2 \log xxdxdy​+2y=x2logx
MediumNumerical5 marks2024(TU FOHSS Final)
4

Solve the following:

a)dydx−3y=x2\text{a)} \quad \frac{dy}{dx} - 3y = x^2a)dxdy​−3y=x2 b)x dy−y dx=x3y dy\text{b)} \quad x\,dy - y\,dx = x^3 y\,dyb)xdy−ydx=x3ydy
MediumTHEORY10 marks2024(TU FOHSS Final)
Showing 4 questions

Sample Questions

Solve:\(\sin x \frac{dy}{dx} + (\cos x)y = -\sin x \cos x \)

Marks: 5Chapter: Unit 5: Differential Equations (7Hrs)

Solve the differential equation: \[ 2\frac{dy}{dx} = \frac{2y}{x} + \frac{y^2}{x^2} \]

Marks: 5Chapter: Unit 5: Differential Equations (7Hrs)

Solve the differential equation: \[ \quad x\frac{dy}{dx} + 2y = x^2 \log x \]

Marks: 5Chapter: Unit 5: Differential Equations (7Hrs)

Solve the following: \[ \text{a)} \quad \frac{dy}{dx} - 3y = x^2 \] \[ \text{b)} \quad x\,dy - y\,dx = x^3 y\,dy \]

Marks: 10Chapter: Unit 5: Differential Equations (7Hrs)

About Unit 5: Differential Equations (7Hrs) Questions

This page contains comprehensive questions from the Unit 5: Differential Equations (7Hrs) chapter of Mathematics II, part of the BCA Semester 2 curriculum. All questions include detailed model answers from past TU exam papers.

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← Back to Mathematics II Chapters

Unit 5: Differential Equations (7Hrs) chapter questions with answers for Mathematics II (BCA Semester 2). Prepare for TU exams with our comprehensive question bank and model answers.

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