Internal problem ID [4665]
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 11.13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-5 y-3 \,{\mathrm e}^{x}+2 x -1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 19
dsolve(diff(y(x),x)-5*y(x)=3*exp(x)-2*x+1,y(x), singsol=all)
\[ y \relax (x ) = \frac {2 x}{5}-\frac {3}{25}-\frac {3 \,{\mathrm e}^{x}}{4}+{\mathrm e}^{5 x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.1 (sec). Leaf size: 29
DSolve[y'[x]-5*y[x]==3*Exp[x]-2*x+1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2 x}{5}-\frac {3 e^x}{4}+c_1 e^{5 x}-\frac {3}{25} \\ \end{align*}