Internal problem ID [5164]
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 11.2.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }-y^{\prime }-2 y={\mathrm e}^{3 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x$2)-diff(y(x),x)-2*y(x)=exp(3*x),y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{2 x} c_{2} +{\mathrm e}^{-x} c_{1} +\frac {{\mathrm e}^{3 x}}{4} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 31
DSolve[y''[x]-y'[x]-2*y[x]==Exp[3*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{3 x}}{4}+c_1 e^{-x}+c_2 e^{2 x} \]