Решить y^prime=e^4+x^2/5-2xy

$$y ^ { \prime } = \frac { e ^ { 4 } + x ^ { 2 } } { 5 - 2 x y }$$

Найдите x

$$\left\{\begin{matrix}x=e^{2}i\approx 7,389056099i\text{, }&y\neq \frac{-5i}{2e^{2}}\\x=-e^{2}i\approx -0-7,389056099i\text{, }&y\neq \frac{5i}{2e^{2}}\end{matrix}\right,$$

Найдите y

$$y\in \mathrm{C}\setminus 0$$

$$x\neq -e^{2}i\text{ and }x\neq e^{2}i,\frac{5}{2x}$$

$$x=-e^{2}i\text{ or }x=e^{2}i$$