Question

Find a Polynomial f(x) satisfying the equation x f''(x) + 31 f(x) = 32 x^2.

Answer 1

f''(x)=31?

Answer 2

wait ..
satisfying
\[x y''+31y=32x^2 \]

Answer 3

I know you have to do this step:
\[31ax^2+(2a+31b)x+31c=32x^2\]
but i dont know how to go from there to what F(x)=

Answer 4

\[f(x)=32/31x^2+((2(32/31)/(-31)x))\] is the answer.