Assignment:
(e^y + 1)^2 * e^-y dx + (e^x + 1) * e^-x dy = 0
An ordinary differential equation (ODE) is an equation that involves derivatives, but no partial derivatives. The "dx" and "dy" found in the equation denote the derivatives involved. We read these notations as "with respect to x" (dx) and "with respect to y" (dy). Their inclusion in the equation makes it possible for us to solve using integration.
When solving an ODE, the simplest approach is to group together the x terms and the y terms so that we might integrate "with respect to x" and "with respect to y."
Provide complete and step by step solution for the question and show calculations and use formulas.