Hey Guys I have the following to do:
Equation: $$e^{-y}(1+ \dot y)=1$$
a) Determine the type of the differential equation (is it linear/nonlinear, separable/non-separable, homogeneous/non-homogeneous)?
b) Find the particular solution subject to the initial condition $y(0) = –\ln 2$.
c) Plot the solution in the interval $t \in [–5, 5]$.
So far I understand that the equation is non linear, and non separable however I am not quite sure. With the rest of the question I am pulling complete blanks. Any tips where to start? Cheers