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NCERT Exemplar MCQ Quiz

Preparing for CBSE

Chapter 9 Class 12 Differential Equations | 7 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 7
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Question 1 of 7
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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 2 of 7
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The solution of \(\frac{d y}{d x}+y=e^{-x}, y(0)=0\) is:
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Question 3 of 7
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The solution of the differential equation \(\frac{d y}{d x}=\frac{1+y^2}{1+x^2}\) is:
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Question 4 of 7
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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 7
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Solution of differential equation \(x d y-y d x=0\) represents:
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Question 6 of 7
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A solution of the differential equation \(\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}+y=0\) is
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Question 7 of 7
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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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