Internal problem ID [584]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Miscellaneous problems, end of chapter 2. Page 133
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-3 y={\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x) = exp(2*x)+3*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \left ({\mathrm e}^{x} c_{1} -1\right ) {\mathrm e}^{2 x} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 19
DSolve[y'[x]== Exp[2*x]+3*y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{2 x} \left (-1+c_1 e^x\right ) \]