73.1.3 problem 2.2 (c)

Internal problem ID [14981]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.2 (c)
Date solved : Tuesday, January 28, 2025 at 07:26:11 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }+4 y&={\mathrm e}^{2 x} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 18

dsolve(diff(y(x),x)+4*y(x)=exp(2*x),y(x), singsol=all)
 

\[ y = \frac {\left ({\mathrm e}^{6 x}+6 c_{1} \right ) {\mathrm e}^{-4 x}}{6} \]

✓ Solution by Mathematica

Time used: 0.047 (sec). Leaf size: 23

DSolve[D[y[x],x]+4*y[x]==Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {e^{2 x}}{6}+c_1 e^{-4 x} \]