For first-order partial differential equations with n variables, variable separation can make ordinary differential equations with n parameters {method of characteristics} {characteristics method}. Characteristic curves and integrals are envelopes.
For first-order partial differential equations, variable separation can result in ordinary differential equations with parameters {Lagrange method}.
Power series with convergence domain can solve partial-differential-equation systems {method of majorant functions} {majorant function method}.
Green's theorem and Green's function can solve partial differential equations {method of singularities} {singularities method}.
3-Calculus-Differential Equation-Methods
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Date Modified: 2022.0225