73.4.12 problem 5.2 (b)

Internal problem ID [15094]
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)
Date solved : Tuesday, January 28, 2025 at 07:30:32 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }+2 y&=20 \,{\mathrm e}^{3 x} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 17

dsolve(diff(y(x),x)+2*y(x)=20*exp(3*x),y(x), singsol=all)
 

\[ y = \left (4 \,{\mathrm e}^{5 x}+c_{1} \right ) {\mathrm e}^{-2 x} \]

✓ Solution by Mathematica

Time used: 0.055 (sec). Leaf size: 21

DSolve[D[y[x],x]+2*y[x]==20*Exp[3*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-2 x} \left (4 e^{5 x}+c_1\right ) \]