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Maths Differential Equations Class 12 MCQ and Assertion Questions

NCERT Exemplar MCQ · Class 12 · Maths · CBSE

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

Practise Differential Equations Class 12 with Teachoo's NCERT Exemplar MCQ (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
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Family \(y=\mathrm{A} x+\mathrm{A}^3\) of curves is represented by the differential equation of degree :
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Question 2 of 10
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The solution of \(x \frac{d y}{d x}+y=e^x\) is:
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Question 3 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 4 of 10
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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 5 of 10
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Integrating factor of the differential equation \(\cos x \frac{d y}{d x}+y \sin x=1\) is :
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Question 6 of 10
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The order and degree of the differential equation
$$ \left(\frac{d^3 y}{d x^3}\right)^2-3 \frac{d^2 y}{d x^2}+2\left(\frac{d y}{d x}\right)^4=y^4 \text { are : } $$
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Question 7 of 10
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The degree of the differential equation \(\left[1+\left(\frac{d y}{d x}\right)^2\right]^{\frac{3}{2}}=\frac{d^2 y}{d x^2}\) is
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Question 8 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 9 of 10
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The solution of the equation \((2 y-1) d x-(2 x+3) d y=0\) is :
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Question 10 of 10
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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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This NCERT Exemplar MCQ covers Differential Equations Class 12 for Class 12 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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