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:
https://www.youtube.com/watch?v=ND9cEdfCFr0

Integration Into Inverse Trig:
https://www.youtube.com/watch?v=AE-0gXXx_j0

Integration of Rational Functions:
https://www.youtube.com/watch?v=4yJmhZBB40w

Integral of Logarithmic Functions:
https://www.youtube.com/watch?v=nrt37LoaSxM

Integrating Exponential Functions:
https://www.youtube.com/watch?v=D9dqdbCgJQM

Integration Formulas:
https://www.youtube.com/watch?v=_KJqeJDb8-I

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Integration By Tables:
https://www.youtube.com/watch?v=p7KwXMyJK9s

Reduction Formulas - Integration:
https://www.youtube.com/watch?v=LBZcfl97LwY

Center of Mass & Moments:
https://www.youtube.com/watch?v=JSGlBHAGvy4

Center of Mass & Centroid Problems:
https://www.youtube.com/watch?v=SWu_i-19Rn0

Hydrostatic Force Problems:
https://www.youtube.com/watch?v=3jG-hWgUJko

Probability Density Functions:
https://www.youtube.com/watch?v=QKA4HNEw3aY

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Normal Distributions - Calculus:
https://www.youtube.com/watch?v=gHBL5Zau3NE

Homogeneous Differential Equations:
https://www.youtube.com/watch?v=ZEJVyybsiT4

1st Order Linear Differential Equations:
https://www.youtube.com/watch?v=gd1FYn86P0c

Bernoulli's Equation for Differential Equations:
https://www.youtube.com/watch?v=BoI_ej-T0V4

Slope Fields:
https://www.youtube.com/watch?v=Wr9VOum9Co0

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Converging & Diverging Sequences:
https://www.youtube.com/watch?v=XdkoTb8PEG0

Monotonic & Bounded Sequences:
https://www.youtube.com/watch?v=tHy3TXmZpF0

Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio