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Exact Differential Equations (First-Order Differential Equations)
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This ordinary differential equations video explains exact equations (first order exact differential equations), relating concepts from multivariable calculus and works some examples. The exact form and the test for exactness are developed in this video, showing how they relate to the chain rule, implicit differentiation, gradient vector fields, and potential functions. We work examples, where the focus is on showing that an equation is exact, and using integration to find the solution to the ODE.
0:00 Exactness and partial derivatives
4:11 Solving exact equations
5:14 Example 1
9:27 Example 2
0:00 Exactness and partial derivatives
4:11 Solving exact equations
5:14 Example 1
9:27 Example 2
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