Question

Find every real solution of the equation below, including equilibrium solutions.

$$\frac{dy}{dx}=8xy$$

Accepted Answer

$$y=Ce^{4x^{2}},\quad C\in\mathbb{R}$$

Answer

$$y=e^{4x^{2}}+C,\quad C\in\mathbb{R}$$

Answer

$$y=Ce^{-4x^{2}},\quad C\in\mathbb{R}$$

Answer

$$y=Ce^{8x^{2}},\quad C\in\mathbb{R}$$

Practice: Integration - Solve Separable Equation