13.8 problem 8

Internal problem ID [12792]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 5. The Laplace Transform Method. Exercises 5.2, page 248
Problem number: 8.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }={\mathrm e}^{x}} \] With initial conditions \begin {align*} [y \left (0\right ) = -1] \end {align*}

✓ Solution by Maple

Time used: 5.328 (sec). Leaf size: 8

dsolve([diff(y(x),x)=exp(x),y(0) = -1],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 10

DSolve[{y'[x]==Exp[x],{y[0]==-1}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to e^x-2 \]