NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 41

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Solution of the differential equation $\tan y \sec^{2} x d x + \tan x \sec^{2} y d y = 0$ is:

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Important Questions on Differential Equations

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 42

Family

y = A x + A^{3}

of curves is represented by the differential equation of degree.

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 43

Integrating factor of

\frac{x d y}{d x} - y = x^{4} - 3 x

is :

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 44

Solution of

\frac{d y}{d x} - y = 1, y (0) = 1

is given by

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 45

The number of solutions of

\frac{d y}{d x} = \frac{y + 1}{x - 1}

when

y (1) = 2

is :

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 46

Which of the following is a second order differential equation?

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 47

Integrating factor of the differential equation

(1 - x^{2}) \frac{d y}{d x} - x y = 1

is

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NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 48

If

\tan^{- 1} x + \tan^{- 1} y = C

is the general solution then the differential equation is

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IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 49

The differential equation

y \frac{d y}{d x} + x = c

represents: