Internal problem ID [7324]
Book: First order enumerated odes
Section: section 1
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-b y=x a} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(diff(y(x),x)=a*x+b*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{b x} c_{1} b^{2}-a x b -a}{b^{2}} \]
✓ Solution by Mathematica
Time used: 0.054 (sec). Leaf size: 25
DSolve[y'[x]==a*x+b*y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {a b x+a}{b^2}+c_1 e^{b x} \]