Verify the solution of the differential equation...y=C_1*cos(x)+C_2*sin(x) y''=+y=0

Question

Verify the solution of the differential equation...y=C_1*cos(x)+C_2*sin(x)                                    y''=+y=0

anonymous · Answer

It just wants you to take the derivative twice and see that the second derivative of the function is the function itself.

anonymous · Answer

Did you take the derivative of y with respect to x yet?

anonymous · Answer

I don't understand how to take the derivative twice 'cause i don't know what the C_1 and C_2 mean..are they just constants? so I could replace them with a and b?

anonymous · Answer

Yes, they are constants. You can use anything you like for those

anonymous · Answer

:D thanks :) I got it :)

anonymous · Answer

great! =)