Internal problem ID [12934]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=20 \,{\mathrm e}^{-4 x}} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.008 (sec). Leaf size: 15
DSolve[y'[x]==20*Exp[-4*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -5 e^{-4 x}+c_1 \]