Internal problem ID [3545]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 289.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x^{2}+1\right ) y^{\prime }-2 x \left (-y+x \right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve((x^2+1)*diff(y(x),x) = 2*x*(x-y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \frac {2 x^{3}+3 c_{1}}{3 x^{2}+3} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 25
DSolve[(1+x^2)y'[x]==2 x(x-y[x]),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2 x^3+3 c_1}{3 x^2+3} \]