Exact differential equations
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Contents |
Educational level: this is a tertiary (university) resource. |
Type classification: this is a lesson resource. |
Subject classification: this is a mathematics resource. |
Completion status: this resource is ~25% complete. |
School:Mathematics > Topic:Differential_Equations > Ordinary Differential Equations > Exact Differential Equations
Definition[edit]
A differential equation of is said to be exact if it can be written in the form where and have continuous partial derivatives such that .
Solution[edit]
Solving the differential equation consists of the following steps:
- Create a function . While integrating, add a constant function that is a function of . This is a term that becomes zero if function is differentiated with respect to .
- Differentiate the function with respect to . Set . Solve for the function .