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]
\[ \boxed {y^{\prime }+y=2} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve([y(x)+diff(y(x),x) = 2,y(0) = 0],y(x), singsol=all)
\[ y \left (x \right ) = 2-2 \,{\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.021 (sec). Leaf size: 14
DSolve[{y[x]+y'[x] == 2,y[0]==0},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2-2 e^{-x} \]