2ye^{x^2+y^2}(x^2+y^2-25)=0 eching

$$2 y e ^ { x ^ { 2 } + y ^ { 2 } } ( x ^ { 2 } + y ^ { 2 } - 25 ) = 0$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=-\sqrt{25-y^{2}}\text{; }x=\sqrt{25-y^{2}}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right,$$

y uchun yechish (complex solution)

$$y=\sqrt{25-x^{2}}$$

$$y=0$$

$$y=-\sqrt{25-x^{2}}$$

x uchun yechish

$$\left\{\begin{matrix}x=\sqrt{25-y^{2}}\text{; }x=-\sqrt{25-y^{2}}\text{, }&|y|\leq 5\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right,$$

y uchun yechish

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=\sqrt{25-x^{2}}\text{; }y=-\sqrt{25-x^{2}}\text{, }&|x|\leq 5\end{matrix}\right,$$