Question

Find a particular solution of y"+2y'+y=8x^2*cosx-4xsinx.

Answer 1

@jigglypuff314 @hartnn @zepdrix @Jaynator495 @ParthKohli @Michele_Laino

Answer 2

Is the initial guess \[y _{p}=(Ax^2+Bx+C)cosx+(Dx^2+Ex+F)sinx\] right for this problem?

Answer 3

Yeah totally, that's the kind of guess I would use.

Answer 4

Yes! You're totally right! I messed up at the end since I was careless, but after I checked my work, I found my mistakes. Thank you so much for the help!