73.7.30 problem 30

Internal problem ID [15188]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 30
Date solved : Tuesday, January 28, 2025 at 07:40:45 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-3 y&=12 \,{\mathrm e}^{2 x} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 15

dsolve(diff(y(x),x)-3*y(x)=12*exp(2*x),y(x), singsol=all)
 

\[ y = \left ({\mathrm e}^{x} c_{1} -12\right ) {\mathrm e}^{2 x} \]

✓ Solution by Mathematica

Time used: 0.044 (sec). Leaf size: 19

DSolve[D[y[x],x]-3*y[x]==12*Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{2 x} \left (-12+c_1 e^x\right ) \]