Internal problem ID [5904]
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: 32.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {2 y^{\prime }+y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = -3] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 10
dsolve([2*diff(y(t),t)+y(t)=0,y(0) = -3],y(t), singsol=all)
\[ y \relax (t ) = -3 \,{\mathrm e}^{-\frac {t}{2}} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 14
DSolve[{2*y'[t]+y[t]==0,{y[0]==-3}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -3 e^{-t/2} \\ \end{align*}