This calculus video tutorial provides a basic introduction into solving first order homogeneous differential equations by putting it in the form M(x,y)dx + N(x,y)dy = 0. You can solve it by substitution using the equation y = vx and dy = xdv + vdx. Following the change of variables, you can integrate the differential equation by separation of variables. This video contains plenty of examples and practice problems of finding the general solution of homogeneous differential equations including solving the initial value problem.
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Integration Formulas:
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Hydrostatic Force Problems:
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Homogeneous Differential Equations:
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1st Order Linear Differential Equations:
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Bernoulli's Equation for Differential Equations:
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Slope Fields:
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Converging & Diverging Sequences:
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Monotonic & Bounded Sequences:
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12 июл 2024