Teachoo MCQ Test

Short Quiz

Chapter 9 Class 12 Differential Equations | 5 questions

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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
NCERT Exemplar
The number of solutions of \(\frac{d y}{d x}=\frac{y+1}{x-1}\) when \(y(1)=2\) is:
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Question 3 of 5
NCERT Exemplar
Integrating factor of the differential equation \(\left(1-x^2\right) \frac{d y}{d x}-x y=1\) is
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Question 4 of 5
CBSE Board Exam 2025
Which of the following is not a homogeneous function of \(x\) and y ?
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Question 5 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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