Integrating factor of $\frac{xdy}{dx}-y=x^4-3x$ is :

Important Questions on Differential Equations

MEDIUM

12th CBSE

IMPORTANT

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

  Solution of $\frac{dy}{dx}-y=1,y\left(0\right)=1$ is given by

EASY

12th CBSE

IMPORTANT

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

The number of solutions of $\frac{dy}{dx}=\frac{y+1}{x-1}$ when $y\left(1\right)=2$ is :

EASY

12th CBSE

IMPORTANT

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

Which of the following is a second order differential equation?

MEDIUM

12th CBSE

IMPORTANT

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

Integrating factor of the differential equation $\left(1-x^2\right)\frac{dy}{dx}-xy=1$ is

EASY

12th CBSE

IMPORTANT

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 

EASY

12th CBSE

IMPORTANT

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

The differential equation $y\frac{dy}{dx}+x=c$ represents:

MEDIUM

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 50

The general solution of  $e^x\cos ydx-e^x\sin ydy=0$ is :

EASY

12th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 12>Chapter 9 - Differential Equations>EXERCISE>Q 51

The degree of the differential equation $\frac{d^{2}y}{d{x}^2}+{\left(\frac{dy}{dx}\right)}^3+6y^3=0$ is :