Solve IVP 2nd order differential equation

[accountkiller]

Homework Statement

Find the particular solution of the linear, homogeneous, 2nd order differential equation: y'' - 2y' + 2y = 0, given the solutions y1 = (e^x)*(cos x), y2 = (e^x)*(sin x), y(0) = 0, y'(0) = 5.

Homework Equations

The Attempt at a Solution

How do I begin? I'd really appreciate any help! Thank you.

 

[jambaugh]

Your general solution (before applying initial conditions) is a general linear combination of your two given solutions:
y = A y1 + B y2.
You then substitute in your two initial conditions and solve for the arbitrary constants A and B.

 

[accountkiller]

Ah, thank you for putting it so short and clearly :)