\[ x y(x)^3 y'(x)+y(x)^4-x \sin (x)=0 \] ✓ Mathematica : cpu = 0.153255 (sec), leaf count = 188
\[\left \{\left \{y(x)\to -\frac {\sqrt [4]{-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)+c_1}}{x}\right \},\left \{y(x)\to -\frac {i \sqrt [4]{-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)+c_1}}{x}\right \},\left \{y(x)\to \frac {i \sqrt [4]{-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)+c_1}}{x}\right \},\left \{y(x)\to \frac {\sqrt [4]{-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)+c_1}}{x}\right \}\right \}\] ✓ Maple : cpu = 0.067 (sec), leaf count = 158
\[y \relax (x ) = \frac {\left (\left (-4 x^{4}+48 x^{2}-96\right ) \cos \relax (x )+\left (16 x^{3}-96 x \right ) \sin \relax (x )+c_{1}\right )^{\frac {1}{4}}}{x}\]