Internal problem ID [3548]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 11
Problem number: 292.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\left (x^{2}+1\right ) y^{\prime }+2 y x=\tan \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve((x^2+1)*diff(y(x),x) = tan(x)-2*x*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\ln \left (\cos \left (x \right )\right )+c_{1}}{x^{2}+1} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 21
DSolve[(1+x^2)y'[x]==Tan[x]-2 x y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-\log (\cos (x))+c_1}{x^2+1} \]