given that when y=0 and x=0

i would appreciate some help with this ones is all new to me. what do i do with the variables given.

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- Apr 8th 2010, 10:22 AMsigma1Non-homogeneous 2nd order DE with constant coefficients.

given that when y=0 and x=0

i would appreciate some help with this ones is all new to me. what do i do with the variables given. - Apr 8th 2010, 10:52 AMRandom Variable
It's a nonhomogeneous linear equation. So you'll need to find a particular solution of the nonhomogeneous equation and the general solution of the related homogeneous equation

The homogeneous equation is

The characteristic equation is , which has roots of r=6 and r =1.

So the general solution of the homogeneous equation is

Now we need any particular solution of

will do

so the general solution on the nonhomongeneous equation is

Now we need to find the two coefficients by using the initial conditions.

Solving the two equations simultaneously, and

so our final solution is - Apr 8th 2010, 12:15 PMsigma1
thanks alot i was not familar with the solution for the general solution on the nonhomongeneous equation. thanks alot i really appreciate it.