f'(x)=f(x)+x^2The aux. equationp-1=0p=1letyp = Ax^2+Bx+Cyp'=2Ax+Byp' -yp = x^2Ax^2+(B-2A)x+(-B+C) = x^2coef. of x^2 => A=1coef. of xB-2A =0B=2coef. of constant-B+C=0C=2yp = x^2+2x+2ief(x) = De^x + x^2+2x+2
f(x)=[e^(x)x^(3)]/3