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Introduction: history of differential equations.
Understanding differential equations and their solutions.
First order differential equations: separable differential equations, exact differential equations and integral factors.
Second order or more linear differential equations, reduced equations and complete equations and their solutions using the indefinite coefficient method, the method of parameter variation, the method of differential operators, the Cauchy-Euler equation.
Solution with a sequence.
Systems of differential equations and their solutions.
Laplace transform and its applications for solving differential equations.
Simple application of differential equations.
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