73.1.12 problem 2.3 (b)

Internal problem ID [14990]
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 : 2.3 (b)
Date solved : Tuesday, January 28, 2025 at 07:27:07 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=20 \,{\mathrm e}^{-4 x} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(x),x)=20*exp(-4*x),y(x), singsol=all)
 

\[ y = -5 \,{\mathrm e}^{-4 x}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 15

DSolve[D[y[x],x]==20*Exp[-4*x],y[x],x,IncludeSingularSolutions -> True]
 

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