2.743   ODE No. 743

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

$$y^{\prime }(x)=-\frac{i(8x^{2}y(x{)}^2+x^4+16y(x{)}^4+8ix)}{32y(x)}$$ ✗ Mathematica : cpu = 45.9619 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-I/32)*((8*I)*x + x^4 + 8*x^2*y[x]^2 + 16*y[x]^4))/y[x], y[x], x]

✓ Maple : cpu = 0.483 (sec), leaf count = 296

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