Internal problem ID [5170]
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]]
\[ \boxed {y^{\prime \prime }=9 x^{2}+2 x -1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 24
dsolve(diff(y(x),x$2)=9*x^2+2*x-1,y(x), singsol=all)
\[ y \left (x \right ) = \frac {3}{4} x^{4}+\frac {1}{3} x^{3}-\frac {1}{2} x^{2}+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 33
DSolve[y''[x]==9*x^2+2*x-1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {3 x^4}{4}+\frac {x^3}{3}-\frac {x^2}{2}+c_2 x+c_1 \]