5.2 problem 32

Internal problem ID [6657]

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]

\[ \boxed {2 y^{\prime }+y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = -3] \end {align*}

Solution by Maple

Time used: 1.438 (sec). Leaf size: 10

dsolve([2*diff(y(t),t)+y(t)=0,y(0) = -3],y(t), singsol=all)
 

\[ y \left (t \right ) = -3 \,{\mathrm e}^{-\frac {t}{2}} \]

Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 14

DSolve[{2*y'[t]+y[t]==0,{y[0]==-3}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to -3 e^{-t/2} \]