3.746   ODE No. 746

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-i(ix+x^4+2x^2{\left(y\left(x\right)\right)}^2+{\left(y\left(x\right)\right)}^4)}{y\left(x\right)}=0}}$$

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

Mathematica: cpu = 31.239967 (sec), leaf count = 39 $$\text{DSolve}[y^{\prime }(x)=-\frac{i(x^4+2x^{2}y(x{)}^2+y(x{)}^4+ix)}{y(x)},y(x),x]$$

Maple: cpu = 0.312 (sec), leaf count = 243 $$\{y\left(x\right)=\frac{-i\sqrt{2}}{2\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+2\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x)}\sqrt{-2i(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x))(-\frac{\mathit{\_}\mathit{C}\mathit{1}(-\sqrt{3}+i){\mathrm{A}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)}{2}+(\frac{\sqrt{3}}{2}-\frac{i}{2}){\mathrm{B}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)+i(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x))x^2)},y\left(x\right)=\frac{i\sqrt{2}}{2\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+2\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x)}\sqrt{-2i(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x))(-\frac{\mathit{\_}\mathit{C}\mathit{1}(-\sqrt{3}+i){\mathrm{A}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)}{2}+(\frac{\sqrt{3}}{2}-\frac{i}{2}){\mathrm{B}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)+i(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x))x^2)}\}$$