total differential equation,
n. a differential equation of the form
where each Pi is a function of the variables x1, x2,..., xn. When n = 2, a solution of the total equation can be found by means of a solution of the linear differential equation
When n = 3, this equation is integrable if and only if ∇×V=0, where V=(P1, P2, P3). See Charpit's method.
where each Pi is a function of the variables x1, x2,..., xn. When n = 2, a solution of the total equation can be found by means of a solution of the linear differential equationWhen n = 3, this equation is integrable if and only if ∇×V=0, where V=(P1, P2, P3). See Charpit's method.