Internal problem ID [12330]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.2, page 53
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+3 y=1} \] With initial conditions \begin {align*} [y \left (-2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve([diff(y(x),x)+3*y(x)=1,y(-2) = 1],y(x), singsol=all)
\[ y \left (x \right ) = \frac {2 \,{\mathrm e}^{-3 x -6}}{3}+\frac {1}{3} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 20
DSolve[{y'[x]+3*y[x]==1,{y[-2]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2}{3} e^{-3 (x+2)}+\frac {1}{3} \]