y=-Acos5x+Bsin5x satisfies the different...

`y=-Acos5x+Bsin5x` satisfies the differential equation :

A

`(d^(2)y)/(dx^(2))+10(dy)/(dx)+25y=0`

B

`(d^(2)y)/(dx^(2))-10(dy)/(dx)+25y=0`

C

`(d^(2)y)/(dx^(2))-25y=0`

D

`(d^(2)y)/(dx^(2))+25y=0`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

y=2e^(2x)-e^(-x) is a solution of the differential equation

Consider the differential equation dy/(dx)+y= cos(e^x) . Solve the differential equation.

An integrating factor of the differential equation, (1+y+x^(2)y)dx+(x+x^(3))dy=0 is :

The general solution of the differential equation (y dx - x dy)/y=0 .

Find the general solution of the following differential equation x^5 (dy)/(dx) = -y^5