Teachoo MCQ Test

Short Quiz

Chapter 9 Class 12 Differential Equations | 5 questions

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Question 1 of 5
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 degree of the differential equation

$$ \frac{d^2 y}{d x^2}+3\left(\frac{d y}{d x}\right)^2=x^2 \log \left(\frac{d^2 y}{d x^2}\right) \text { is } $$
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Question 3 of 5
NCERT Exemplar
The degree of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^2=x \sin \left(\frac{d y}{d x}\right)\) is:
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Question 4 of 5
NCERT Exemplar
The differential equation for \(y=\mathrm{A} \cos \alpha x+\mathrm{B} \sin \alpha x\), where A and B are arbitrary constants is
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Question 5 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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