Find constants A,B and C such that the function:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y = Ax^2 + Bx + C[/tex]

satisfies the differential equation:

[tex]y'' + y' - 2y = x^2[/tex]

[tex]\frac{d}{dx} (y) = \frac{d}{dx} (Ax^2 + Bx + C) = 2Ax + B[/tex]

[tex]y' = 2Ax + B[/tex]

[tex]\frac{d}{dx} (y') = \frac{d}{dx} (2Ax + B) = 2A[/tex]

[tex]y'' = 2A[/tex]

[tex]2A + 2Ax + B - 2y = x^2[/tex]

I have been assigned a problem that is not yet covered for another 7 chapters.

I do not understand the question...

Any suggestions?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Differential Equation Help!

**Physics Forums | Science Articles, Homework Help, Discussion**