4.1 problem 1

Internal problem ID [54]

Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 1.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y+y^{\prime }-2=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}

Solution by Maple

Time used: 0.004 (sec). Leaf size: 12

dsolve([y(x)+diff(y(x),x) = 2,y(0) = 0],y(x), singsol=all)
 

\[ y \relax (x ) = 2-2 \,{\mathrm e}^{-x} \]

Solution by Mathematica

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

DSolve[{y[x]+y'[x] == 2,y[0]==0},y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 2-2 e^{-x} \\ \end{align*}