Question

Differential equations

Answer 1

That doesn't make sense, no. What you can do via some software (probably not your calculator) is plot solution curves of differential equations passing through given initial conditions.

Answer 2

You can graph the vector field of a first order differential equation by Euler’s method, but without any known parameters the solution to a diff-eq is not unique. Laplace transform is useful for converting time-variant differential equations into frequency-variant algebraic equations, and while Laplace solutions are unique, that doesn’t guarantee they’re easily solvable.