Solve IVP 2nd order differential equation

  • #1

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.
 

Answers and Replies

  • #2
jambaugh
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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.
 
  • #3
Ah, thank you for putting it so short and clearly :)
 

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