Learn how to recognize and solve exact differential equations using the exactness test M_y = N_x, recover a potential function F(x,y), apply initial conditions, verify implicit solutions, and use special integrating factors when an equation is not exact. This rigorous visual lesson also explains domain restrictions, conservative vector fields, line integrals, and the punctured-domain caveat.
Learn to solve homogeneous second-order linear differential equations with constant coefficients using the characteristic equation. Master distinct real roots, repeated roots, complex conjugate roots, initial-value problems, boundary-value problems, damping, and the Woody Calculus root-classification method.
