Internal problem ID [13358]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page
103
Problem number: 5.2 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+2 y=20 \,{\mathrm e}^{3 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)+2*y(x)=20*exp(3*x),y(x), singsol=all)
\[ y \left (x \right ) = \left (4 \,{\mathrm e}^{5 x}+c_{1} \right ) {\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 21
DSolve[y'[x]+2*y[x]==20*Exp[3*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-2 x} \left (4 e^{5 x}+c_1\right ) \]