Internal problem ID [3547]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 291.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (-x^{2}+1\right ) y^{\prime }-2 y x=-\cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve((-x^2+1)*diff(y(x),x)+cos(x) = 2*x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sin \left (x \right )+c_{1}}{x^{2}-1} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 18
DSolve[(1-x^2)y'[x]+Cos[x]==2 x y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\sin (x)+c_1}{x^2-1} \]