Internal problem ID [3549]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 11
Problem number: 293.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (-x^{2}+1\right ) y^{\prime }-4 y x=a} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 29
dsolve((-x^2+1)*diff(y(x),x) = a+4*x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-a \left (\frac {1}{3} x^{3}-x \right )+c_{1}}{\left (x -1\right )^{2} \left (x +1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 30
DSolve[(1-x^2)y'[x]==a+4 x y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-a x \left (x^2-3\right )+3 c_1}{3 \left (x^2-1\right )^2} \]