Internal problem ID [14084]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 47.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+2 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([diff(y(x),x)+2*y(x)=0,y(0) = 2],y(x), singsol=all)
\[ y \left (x \right ) = 2 \,{\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.072 (sec). Leaf size: 12
DSolve[{y'[x]+2*y[x]==0,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 e^{-2 x} \]