Internal problem ID [5903]
Book: DIFFERENTIAL EQUATIONS with Boundary Value Problems. DENNIS G. ZILL,
WARREN S. WRIGHT, MICHAEL R. CULLEN. Brooks/Cole. Boston, MA. 2013. 8th
edition.
Section: CHAPTER 7 THE LAPLACE TRANSFORM. 7.2.2 TRANSFORMS OF DERIVATIVES
Page 289
Problem number: 31.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-y-1=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.005 (sec). Leaf size: 8
dsolve([diff(y(t),t)-y(t)=1,y(0) = 0],y(t), singsol=all)
\[ y \relax (t ) = -1+{\mathrm e}^{t} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 10
DSolve[{y'[t]-y[t]==1,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to e^t-1 \\ \end{align*}