Solutions To Exact Differential Equations
Given an exact differential equation defined on some simply connected and open subset D of R2 with potential function F then a differentiable function f with (x, f(x)) in D is a solution if and only if there exists real number c so that
For an initial value problem
we can locally find a potential function by
Solving
for y, where c is a real number, we can then construct all solutions.
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