Internal problem ID [3001]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 9
Problem number: 253.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x^{2}-a -b y x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 21
dsolve(x^2*diff(y(x),x) = a+b*x*y(x),y(x), singsol=all)
\[ y \relax (x ) = -\frac {a}{x \left (b +1\right )}+x^{b} c_{1} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 22
DSolve[x^2 y'[x]==a+b x y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {a}{b x+x}+c_1 x^b \\ \end{align*}