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CBSE Past Year MCQ Quiz

Chapter 9 Class 12 Differential Equations | 3 questions | about 3 minutes

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Question 1 of 3
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Question 1 of 3
CBSE Board Exam 2026
Assertion (A) : One of the particular solutions of the differential equation \(\frac{d y}{d x}=e^{x+y}\) can be \(e^{x}+e^{-y}=-2\).
Reason \((R): \quad \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{-\mathrm{y}}=\mathrm{C}\) is the general solution of the differential equation \(\frac{d y}{d x}=e^{x+y}\).
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Question 2 of 3
CBSE Board Exam 2025
If \(y=\sin ^{-1} x\), then \(\left(1-x^2\right) \frac{d^2 y}{d x^2}\) is equal to :
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Question 3 of 3
CBSE Board Exam 2024
\(x \log x \frac{d y}{d x}+y=2 \log x\) is an example of \(a:\)
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