Homogeneous Differential Equations

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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.

Improper Integrals:

Integration Into Inverse Trig:

Integration of Rational Functions:

Integral of Logarithmic Functions:

Integrating Exponential Functions:

Integration Formulas:

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Integration By Tables:

Reduction Formulas - Integration:

Center of Mass & Moments:

Center of Mass & Centroid Problems:

Hydrostatic Force Problems:

Probability Density Functions:

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Normal Distributions - Calculus:

Homogeneous Differential Equations:

1st Order Linear Differential Equations:

Bernoulli's Equation for Differential Equations:

Slope Fields:

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Converging & Diverging Sequences:

Monotonic & Bounded Sequences:

Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:
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I just realized you don't have a video on exact differential equations!
Kindly make one. Others might benefit in the years to come.
Thank you.

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Please I need a full playlist of differential equation tutorials.

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brianmghanga
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Thank you times a thousand man the three examples are up to the point and the explanations are clear and precise. Now i know how to solve homogeneous differential equations.

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fahmidaislam
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Professor Organic Chemistry Tutor, thank you for a powerful analysis on First Order Homogeneous Differential Equations. This is where Techniques of Integration in Calculus Two is used for finding solutions to Ordinary Differential Equations. Differential Equations is an extension of Calculus. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

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