Class 12

21. Differential Equations question bank (Maths)

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Q1.

Find the integral factor of equation \((x^2 + 1) \frac{dy}{dx} + 2xy = x^2 - 1\)

(A)
\(x^2 + 1\)
(B)
\(\frac{2x}{x^2 + 1}\)
(C)
\(\frac{x^2 - 1}{x^2 + 1}\)
(D)
None of these
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Q2.

The solution of \(\frac{dy}{dx} + 2y \tan x = \sin x\) is

(A)
\(y \sec^3 x = \sec^2 x + c\)
(B)
\(y \sec^2 x = \sec x + c\)
(C)
\(y \sin x = \tan x + c\)
(D)
None of these
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