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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.

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

MediumNumerical5 marks2022(TU FOHSS Final)

Solve the differential equation:

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

Solve the differential equation:

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

Solve the following:

a)dydx−3y=x2\text{a)} \quad \frac{dy}{dx} - 3y = x^2 b)x dy−y dx=x3y dy\text{b)} \quad x\,dy - y\,dx = x^3 y\,dy
MediumTHEORY10 marks2024(TU FOHSS Final)
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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)

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.