2.746   ODE No. 746

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

$$y^{\prime }(x)=-\frac{i(2x^{2}y(x{)}^2+x^4+y(x{)}^4+ix)}{y(x)}$$ ✗ Mathematica : cpu = 44.9395 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-I)*(I*x + x^4 + 2*x^2*y[x]^2 + y[x]^4))/y[x], y[x], x]

✓ Maple : cpu = 0.443 (sec), leaf count = 232

$$\{y\left(x\right)=\frac{\sqrt{2}}{2\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+2\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x)}\sqrt{((1+i\sqrt{3})\mathit{\_}\mathit{C}\mathit{1}{\mathrm{A}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)+(1+i\sqrt{3}){\mathrm{B}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)-2x^2(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x)))(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x))},y\left(x\right)=-\frac{\sqrt{2}}{2\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+2\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x)}\sqrt{((1+i\sqrt{3})\mathit{\_}\mathit{C}\mathit{1}{\mathrm{A}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)+(1+i\sqrt{3}){\mathrm{B}\mathrm{i}}^{(1)}(-\sqrt[3]{-8i}x)-2x^2(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x)))(\mathrm{A}\mathrm{i}(-\sqrt[3]{-8i}x)\mathit{\_}\mathit{C}\mathit{1}+\mathrm{B}\mathrm{i}(-\sqrt[3]{-8i}x))}\}$$