ODE
\[ y'(x)=4 x \csc (x) \left (y(x)+\sin ^3(x)\right ) \] ODE Classification
[_linear]
Book solution method
Linear ODE
Mathematica ✗
cpu = 599.993 (sec), leaf count = 0 , timed out
$Aborted
Maple ✓
cpu = 0.71 (sec), leaf count = 114
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-4\,i \left ( {\it polylog} \left ( 2,{{\rm e}^{ix}} \right ) -{\it polylog} \left ( 2,-{{\rm e}^{ix}} \right ) \right ) }} \left ( 1-{{\rm e}^{ix}} \right ) ^{4\,x} \left ( 1+{{\rm e}^{ix}} \right ) ^{-4\,x} \left ( 4\,\int \!-1/2\,x \left ( 1-{{\rm e}^{ix}} \right ) ^{-4\,x} \left ( 1+{{\rm e}^{ix}} \right ) ^{4\,x}{{\rm e}^{4\,i \left ( {\it polylog} \left ( 2,{{\rm e}^{ix}} \right ) -{\it polylog} \left ( 2,-{{\rm e}^{ix}} \right ) \right ) }} \left ( -1+\cos \left ( 2\,x \right ) \right ) \,{\rm d}x+{\it \_C1} \right ) \right \} \] Mathematica raw input
DSolve[y'[x] == 4*x*Csc[x]*(Sin[x]^3 + y[x]),y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve(diff(y(x),x) = 4*csc(x)*x*(sin(x)^3+y(x)), y(x),'implicit')
Maple raw output
y(x) = exp(-4*I*(polylog(2,exp(I*x))-polylog(2,-exp(I*x))))*(1-exp(I*x))^(4*x)*(1+exp(I*x))^(-4*x)*(4*Int(-1/2*x*(1-exp(I*x))^(-4*x)*(1+exp(I*x))^(4*x)*exp(4*I*(polylog(2,exp(I*x))-polylog(2,-exp(I*x))))*(-1+cos(2*x)),x)+_C1)