Chapter 17 · Ordinary Differential Equations
17.04
Exact Equations
M dx + N dy = 0 is exact when M_y = N_x. Then it's the differential of a function ψ(x, y), and the solutions are the level curves ψ = C.
About 14 minutes
You'll learn to
- →Test an equation for exactness
- →Find the potential function ψ
- →Write implicit solutions and apply initial conditions
- →Use an integrating factor to make an equation exact