Internal problem ID [4662]
Book: Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill
2014
Section: Chapter 11. THE METHOD OF UNDETERMINED COEFFICIENTS. page
95
Problem number: Problem 11.8.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-9 x^{2}-2 x +1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 24
dsolve(diff(y(x),x$2)=9*x^2+2*x-1,y(x), singsol=all)
\[ y \relax (x ) = \frac {3}{4} x^{4}+\frac {1}{3} x^{3}-\frac {1}{2} x^{2}+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 28
DSolve[y''[x]==9*x^2+2*x-1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{12} (x (9 x+4)-6) x^2+c_2 x+c_1 \\ \end{align*}