First Order Linear Differential Equations

This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations.

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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