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Chapter 9 Class 12 Differential Equations | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 of 5
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 5
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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Question 3 of 5
NCERT Exemplar
If \(y=e^{-x}(\mathrm{~A} \cos x+\mathrm{B} \sin x)\), then \(y\) is a solution of
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Question 4 of 5
NCERT Exemplar
The degree of the differential equation \(\left(1+\frac{d y}{d x}\right)^3=\left(\frac{d^2 y}{d x^2}\right)^2\) is
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Question 5 of 5
NCERT Exemplar
The order and degree of the differential equation \(\left[1+\left(\frac{d y}{d x}\right)^2\right]^2=\frac{d^2 y}{d x^2}\) respectively, are
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