Internal problem ID [1]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.2. Integrals as general and particular solutions. Page 16
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-1-2 x=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.094 (sec). Leaf size: 10
dsolve([diff(y(x),x) = 1+2*x,y(0) = 3],y(x), singsol=all)
\[ y \relax (x ) = x^{2}+x +3 \]
✓ Solution by Mathematica
Time used: 0.05 (sec). Leaf size: 11
DSolve[{y'[x]==1+2*x,y[0]==3},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2+x+3 \\ \end{align*}