2.314   ODE No. 314

1. Problem in Latex
2. Mathematica input
3. Maple input

$$xy(x{)}^3{y}^{\prime }(x)+y(x{)}^4-x\sin (x)=0$$ ✓ Mathematica : cpu = 0.140275 (sec), leaf count = 188

$$\{\{y(x)\to -\frac{\sqrt[4]{16x^3\sin (x)-4x^4\cos (x)+48x^2\cos (x)-96x\sin (x)-96\cos (x)+c_1}}{x}\},\{y(x)\to -\frac{i\sqrt[4]{16x^3\sin (x)-4x^4\cos (x)+48x^2\cos (x)-96x\sin (x)-96\cos (x)+c_1}}{x}\},\{y(x)\to \frac{i\sqrt[4]{16x^3\sin (x)-4x^4\cos (x)+48x^2\cos (x)-96x\sin (x)-96\cos (x)+c_1}}{x}\},\{y(x)\to \frac{\sqrt[4]{16x^3\sin (x)-4x^4\cos (x)+48x^2\cos (x)-96x\sin (x)-96\cos (x)+c_1}}{x}\}\}$$ ✓ Maple : cpu = 0.041 (sec), leaf count = 158

$$\{y\left(x\right)=\frac{1}{x}\sqrt[4]{(-4x^4+48x^2-96)\cos \left(x\right)+(16x^3-96x)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=\frac{-i}{x}\sqrt[4]{(-4x^4+48x^2-96)\cos \left(x\right)+(16x^3-96x)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=\frac{i}{x}\sqrt[4]{(-4x^4+48x^2-96)\cos \left(x\right)+(16x^3-96x)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=-\frac{1}{x}\sqrt[4]{(-4x^4+48x^2-96)\cos \left(x\right)+(16x^3-96x)\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}\}$$