Separation of variables

Related lectures (27)

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Covers separable differential equations of order 1, defining separable equations and providing examples.

Explores the existence and uniqueness of solutions in differential equations, including separable equations and open intervals.

Covers linear differential equations of order 1 and their solutions.

Explores the theorem of existence and uniqueness for differential equations and the method to find the general solution.

Explores the Cauchy problem, focusing on the existence and uniqueness of solutions.

Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.

Discusses applications and solutions of differential equations in circuit analysis and motion problems.

Covers ordinary differential equations with separable variables and the conditions for unique solutions in EDOs.

Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.