## heydayana Group Title find a polynomial f(x) that satisfies the equation xf''(x) + f(x) = x^2 one year ago one year ago

1. uzumakhi Group Title

do you know about diffrential equation?

2. heydayana Group Title

which equation?

3. Algebraic! Group Title

undetermined coefficients: try Ax^2 +Bx +c = yp

4. shubhamsrg Group Title

*

5. nitz Group Title

firstly we divide by x and then integrating both sides twice will i guess give the answer

6. uzumakhi Group Title

by dividing with x we get $f''(x) + \frac{ f(x) }{ x } = x$

7. uzumakhi Group Title

we write it as $f''(x) = x - \frac{ f(x) }{ x }$ now integrate both sides