Question

ind the particular solution y=f(x) to the given differential equation with the initial condition f(-2)=-1
dy/dx=2xe^3y

Answer 1

\[\frac{ dy }{ dx}=2xe ^{3y}\]

Answer 2

\[
e^{- 3y } dy= 2 x dx
\]

Answer 3

It is a separable equation

Answer 4

\[
\int e^{- 3y } dy=\int 2 x dx

\]

Answer 5

Can you finish it?