Question

How do you use the initial condition to solve the equation below?

$$\frac{dy}{dx}=2xy,\quad y(0)=-1$$

Accepted Answer

Separate dy/y, integrate, and use y(0)=-1 to set C=-1.

Answer

Divide by y and discard the equilibrium solution, even if y(0)=0.

Answer

Substitute x=1 instead of x=0 to determine C.

Answer

Set the constant C equal to zero regardless of the initial value.

Practice: Integration - Initial Value Separation Method