Complex analysis of differential equations

How do you solve complex ODEs?

Solutions of Complex ODEs

1. Solve the complex ordinary differential equation with initial condition and visualize the behavior
2. Plot the real and imaginary parts of as a function of the real variable
3. Plot as a function of the real variable

Why is it difficult to solve differential equations?

Most ordinary differential equations can be solved.
It just happens that for a vast number of ordinary differential equations, we cannot find an analytical method to derive the solutions in terms of the elementary functions, or we can prove that the solution cannot be written in terms of elementary functions..