\[ x y(x)^3 y'(x)+y(x)^4-x \sin (x)=0 \] ✓ Mathematica : cpu = 0.0439039 (sec), leaf count = 164
\[\left \{\left \{y(x)\to -\frac {\sqrt [4]{c_1+16 x \left (x^2-6\right ) \sin (x)-4 \left (x^4-12 x^2+24\right ) \cos (x)}}{x}\right \},\left \{y(x)\to -\frac {i \sqrt [4]{c_1+16 x \left (x^2-6\right ) \sin (x)-4 \left (x^4-12 x^2+24\right ) \cos (x)}}{x}\right \},\left \{y(x)\to \frac {i \sqrt [4]{c_1+16 x \left (x^2-6\right ) \sin (x)-4 \left (x^4-12 x^2+24\right ) \cos (x)}}{x}\right \},\left \{y(x)\to \frac {\sqrt [4]{c_1+16 x \left (x^2-6\right ) \sin (x)-4 \left (x^4-12 x^2+24\right ) \cos (x)}}{x}\right \}\right \}\]
✓ Maple : cpu = 0.051 (sec), leaf count = 158
\[ \left \{ y \left ( x \right ) ={\frac {1}{x}\sqrt [4]{ \left ( -4\,{x}^{4}+48\,{x}^{2}-96 \right ) \cos \left ( x \right ) + \left ( 16\,{x}^{3}-96\,x \right ) \sin \left ( x \right ) +{\it \_C1}}},y \left ( x \right ) ={\frac {-i}{x}\sqrt [4]{ \left ( -4\,{x}^{4}+48\,{x}^{2}-96 \right ) \cos \left ( x \right ) + \left ( 16\,{x}^{3}-96\,x \right ) \sin \left ( x \right ) +{\it \_C1}}},y \left ( x \right ) ={\frac {i}{x}\sqrt [4]{ \left ( -4\,{x}^{4}+48\,{x}^{2}-96 \right ) \cos \left ( x \right ) + \left ( 16\,{x}^{3}-96\,x \right ) \sin \left ( x \right ) +{\it \_C1}}},y \left ( x \right ) =-{\frac {1}{x}\sqrt [4]{ \left ( -4\,{x}^{4}+48\,{x}^{2}-96 \right ) \cos \left ( x \right ) + \left ( 16\,{x}^{3}-96\,x \right ) \sin \left ( x \right ) +{\it \_C1}}} \right \} \]