\[ \boxed { x \left ( y \left ( x \right ) \right ) ^{3}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{4}-x\sin \left ( x \right ) =0} \]
Mathematica: cpu = 0.042505 (sec), leaf count = 188 \[ \left \{\left \{y(x)\to -\frac {\sqrt [4]{c_1-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)}}{x}\right \},\left \{y(x)\to -\frac {i \sqrt [4]{c_1-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)}}{x}\right \},\left \{y(x)\to \frac {i \sqrt [4]{c_1-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)}}{x}\right \},\left \{y(x)\to \frac {\sqrt [4]{c_1-4 x^4 \cos (x)+16 x^3 \sin (x)+48 x^2 \cos (x)-96 x \sin (x)-96 \cos (x)}}{x}\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 170 \[ \left \{ y \left ( x \right ) ={\frac {1}{x}\sqrt [4]{-4\,{x}^{4}\cos \left ( x \right ) +16\,\sin \left ( x \right ) {x}^{3}+48\,{x}^{2}\cos \left ( x \right ) -96\,\cos \left ( x \right ) -96\,x\sin \left ( x \right ) +{\it \_C1}}},y \left ( x \right ) ={\frac {-i}{x}\sqrt [4]{-4 \,{x}^{4}\cos \left ( x \right ) +16\,\sin \left ( x \right ) {x}^{3}+48\, {x}^{2}\cos \left ( x \right ) -96\,\cos \left ( x \right ) -96\,x\sin \left ( x \right ) +{\it \_C1}}},y \left ( x \right ) ={\frac {i}{x} \sqrt [4]{-4\,{x}^{4}\cos \left ( x \right ) +16\,\sin \left ( x \right ) {x}^{3}+48\,{x}^{2}\cos \left ( x \right ) -96\,\cos \left ( x \right ) - 96\,x\sin \left ( x \right ) +{\it \_C1}}},y \left ( x \right ) =-{\frac { 1}{x}\sqrt [4]{-4\,{x}^{4}\cos \left ( x \right ) +16\,\sin \left ( x \right ) {x}^{3}+48\,{x}^{2}\cos \left ( x \right ) -96\,\cos \left ( x \right ) -96\,x\sin \left ( x \right ) +{\it \_C1}}} \right \} \]