\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \cos (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\sin (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\cos (\text {Global$\grave { }$x}) \sin ^2(\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))=0 \] ✓ Mathematica : cpu = 0.560664 (sec), leaf count = 53
\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \csc ^{-1}\left (\frac {1}{2} \left (-2 c_1 e^{-\text {Global$\grave { }$x}}-\sin (\text {Global$\grave { }$x})-\cos (\text {Global$\grave { }$x})\right )\right )\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to -\csc ^{-1}\left (\frac {1}{2} \left (2 c_1 e^{-\text {Global$\grave { }$x}}+\sin (\text {Global$\grave { }$x})+\cos (\text {Global$\grave { }$x})\right )\right )\right \}\right \}\]
✓ Maple : cpu = 1.063 (sec), leaf count = 270
\[ \left \{ y \left ( x \right ) =\arctan \left ( -2\,{\frac {{{\rm e}^{x}}}{{{\rm e}^{x}}\cos \left ( x \right ) +{{\rm e}^{x}}\sin \left ( x \right ) +2\,{\it \_C1}}},{\frac {1}{2\,\cos \left ( x \right ) \sin \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{\it \_C1}\,\sin \left ( x \right ) {{\rm e}^{x}}+4\,\cos \left ( x \right ) {\it \_C1}\,{{\rm e}^{x}}+4\,{{\it \_C1}}^{2}+ \left ( {{\rm e}^{x}} \right ) ^{2}}\sqrt { \left ( 2\,\cos \left ( x \right ) \sin \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{\it \_C1}\,\sin \left ( x \right ) {{\rm e}^{x}}+4\,\cos \left ( x \right ) {\it \_C1}\,{{\rm e}^{x}}+4\,{{\it \_C1}}^{2}+ \left ( {{\rm e}^{x}} \right ) ^{2} \right ) \left ( 2\,\cos \left ( x \right ) \sin \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{\it \_C1}\,\sin \left ( x \right ) {{\rm e}^{x}}+4\,\cos \left ( x \right ) {\it \_C1}\,{{\rm e}^{x}}-3\, \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{{\it \_C1}}^{2} \right ) }} \right ) ,y \left ( x \right ) =\arctan \left ( -2\,{\frac {{{\rm e}^{x}}}{{{\rm e}^{x}}\cos \left ( x \right ) +{{\rm e}^{x}}\sin \left ( x \right ) +2\,{\it \_C1}}},-{\frac {1}{2\,\cos \left ( x \right ) \sin \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{\it \_C1}\,\sin \left ( x \right ) {{\rm e}^{x}}+4\,\cos \left ( x \right ) {\it \_C1}\,{{\rm e}^{x}}+4\,{{\it \_C1}}^{2}+ \left ( {{\rm e}^{x}} \right ) ^{2}}\sqrt { \left ( 2\,\cos \left ( x \right ) \sin \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{\it \_C1}\,\sin \left ( x \right ) {{\rm e}^{x}}+4\,\cos \left ( x \right ) {\it \_C1}\,{{\rm e}^{x}}+4\,{{\it \_C1}}^{2}+ \left ( {{\rm e}^{x}} \right ) ^{2} \right ) \left ( 2\,\cos \left ( x \right ) \sin \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{\it \_C1}\,\sin \left ( x \right ) {{\rm e}^{x}}+4\,\cos \left ( x \right ) {\it \_C1}\,{{\rm e}^{x}}-3\, \left ( {{\rm e}^{x}} \right ) ^{2}+4\,{{\it \_C1}}^{2} \right ) }} \right ) \right \} \]