y=ae^(mx)+be^(-mx) satisfies which of th...

`y=ae^(mx)+be^(-mx)` satisfies which of the following differential equations?

A

`(dy)/(dx)-my=0`

B

`(dy)/(dx)+my=0`

C

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

D

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

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

y=ae^(mx)+b^(-mx) satisfies which of the following differential equation?

Form differential equation for y=mx+c

The differential equation of y=ae^(bx) is

If y=ae^(5x)+be^(-5x), then find differential equation

If y=ae^(mx)+be^(-mx)," then "y_(2)=

Number of values of m in N for which y=e^(mx) is a solution of the differential equation D^(3)y-3D^(2)y-4Dy+12y=0 ,is

Which of the following differential equation has y=ae^(-x)+be^(x) as the General solution

Which of the following is a differential equation of the family of curves y=Ae^(2x)+Be^(-2x)

Which one of the following differential equations has the general solution y= ae^x + be^(-x) ?