Internal problem ID [4692]
Book: Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill
2014
Section: Chapter 24. Solutions of linear DE by Laplace transforms. Supplementary Problems. page
248
Problem number: Problem 24.17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+2 y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 8
dsolve([diff(y(x),x)+2*y(x)=0,y(0) = 1],y(x), singsol=all)
\[ y \relax (x ) = {\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 10
DSolve[{y'[x]+2*y[x]==0,{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{-2 x} \\ \end{align*}