4.7 problem 5.1 (g)

Internal problem ID [13033]

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: 5.1 (g).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }={\mathrm e}^{2 x}} \]

Solution by Maple

Time used: 0.016 (sec). Leaf size: 12

dsolve(diff(y(x),x)-exp(2*x)=0,y(x), singsol=all)
 

\[ y = \frac {{\mathrm e}^{2 x}}{2}+c_{1} \]

Solution by Mathematica

Time used: 0.008 (sec). Leaf size: 17

DSolve[y'[x]-Exp[2*x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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