Total Differential Equation


Total Differential Equation
General solution

Exact Differential Equation
A function that satisfies the exact differential equation
exists.

System of differential equations

Solution method 1 Using the transformation
, we select satisfying


and construct an integrable equation.
Solution method 2
Find the respective solutions that satisfy the system.
Solution method 3
The equations are solved by finding one of the solutions and substituting into the other equation to eliminate variables.
Jacobi's multiplier
Given that , the equation with

is called Jacobi's multiplier.

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