Thread: 2nd order of differential equation.

y'' -3y + 2y = e^2ix

Will this imaginary constant make some trouble for me?

I have tried this

Y = Ae2ix
and the derivative of that
Y' = 2Ae^2ix
Y''= 4Ae^2ix

I cant figure out how to get the full solution, because I already have the homogenous equation solved. what about this, what will be the constants?

Originally Posted by Glb

y'' -3y + 2y = e^2ix

Will this imaginary constant make some trouble for me?

I have tried this

Y = Ae2ix
and the derivative of that
Y' = 2Ae^2ix Mr F says: This is wrong. It should be 2iAe^2ix.
Y''= 4Ae^2ix Mr F says: This is wrong too. It should be -4Ae^2ix.

I cant figure out how to get the full solution, because I already have the homogenous equation solved. what about this, what will be the constants?

Substitute the correct derivatives into the DE and simplify:

-4A -6iA +2A = 1.

Solve for A.