Internal problem ID [3561]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 11
Problem number: 305.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (a^{2}+x^{2}\right ) y^{\prime }-y x=b} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve((a^2+x^2)*diff(y(x),x) = b+x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x b}{a^{2}}+\sqrt {a^{2}+x^{2}}\, c_{1} \]
✓ Solution by Mathematica
Time used: 0.086 (sec). Leaf size: 26
DSolve[(a^2+x^2)y'[x]==b+x y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {b x}{a^2}+c_1 \sqrt {a^2+x^2} \]