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NCERT Exemplar MCQ

Chapter 9 Class 12 Differential Equations | 10 questions | about 8 minutes

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Question 1 of 10
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Question 1 of 10
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The general solution of the differential equation \(\frac{d y}{d x}=e^{\frac{x^2}{2}}+x y\) is :
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Question 2 of 10
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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 3 of 10
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Integrating factor of the differential equation \(\frac{d y}{d x}+y \tan x-\sec x=0\) is:
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Question 4 of 10
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The general solution of \(\frac{d y}{d x}=2 x e^{x^2-y}\) is :
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Question 5 of 10
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The order and degree of the differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^{\frac{1}{4}}+x^{\frac{1}{5}}=0\), respectively, are
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Question 6 of 10
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The differential equation of the family of curves \(x^2+y^2-2 a y=0\), where \(a\) is arbitrary constant, is:
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Question 7 of 10
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The differential equation for which \(y=a \cos x+b \sin x\) is a solution, is :
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Question 8 of 10
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Which of the following is not a homogeneous function of \(x\) and \(y\).
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Question 9 of 10
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The solution of \(\frac{d y}{d x}+y=e^{-x}, y(0)=0\) is:
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Question 10 of 10
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Solution of the differential equation \(\frac{d y}{d x}+\frac{y}{x}=\sin x\) is :
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