Home
Class 12
MATHS
The differential equation of the family ...

The differential equation of the family of curves `y= e^(x) (A cos x + B sin x)`, where A and B are arbitrary constants is a)`y''-2y'+2y=0` b)`y''+2y'-2y=0` c)`y''+y^(2)+y=0` d)`y''+2y'-y=0`

A

`y''-2y'+2y=0`

B

`y''+2y'-2y=0`

C

`y''+y^(2)+y=0`

D

`y''+2y'-y=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The differential equation representing the family of curves y^(2) = a(ax + b) , where a and b are arbitrary constants, is of

Find the Differential equation satisfying the family of curves y=ae^(3x)+be^(-2x) ,a and b are arbitrary constants.

Find the Differential equation satisfying the family of curves y^2=a(b^2-x^2) ,a and b are arbitrary constants.

Form the differential equation representing the family of curves given by (x - a)^2 + 2y^2 = a^2 , where a is an arbitrary constant.

The differential equation representing the family of curves given by y=ae^(-3x)+b , where a and b are arbitrary constants, is a) (d^(2)y)/(dx^(2))+3(dy)/(dx)-2y=0 b) (d^(2)y)/(dx^(2))-3(dy)/(dx)=0 c) (d^(2)y)/(dx^(2))-3(dy)/(dx)-2y=0 d) (d^(2)y)/(dx^(2))+3(dy)/(dx)=0

Solve the differential equation 3 e^x tan y d x-(1+e^x) (sec ^(2) y) d y=0

solve the differential equation (x^2+x y) d y=(x^2+y^2) d x

Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y) x cos (y/x)