First Order Linear Differential Equations (Patreon)

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. Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Curve Sketching With Derivatives: https://www.youtube.com/watch?v=JTVNUdL7sWs Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig U-Substitution: https://www.youtube.com/watch?v=sdYdnpYn-1o 1st Order Differential Equations: https://www.youtube.com/watch?v=C7nuJcJriWM Area Between Two Curves: https://www.youtube.com/watch?v=kgg5Rspf1Js Disk and Washer Method: https://www.youtube.com/watch?v=SAHSVg7Jw_A _______________________________________________________________________________________ Arc Length Problems: https://www.youtube.com/watch?v=DNDAwWIL5FY Surface Area Problems: https://www.youtube.com/watch?v=lQM-0Nqs9Pg Work Problems - Calculus: https://www.youtube.com/watch?v=TLw8xbmnY3c Integration By Parts: https://www.youtube.com/watch?v=sWSLLO3DS1I Tabular Method: https://www.youtube.com/watch?v=Yyic5aaXGaw Trigonometric Integrals: https://www.youtube.com/watch?v=3pXALn2ovIE Trigonometric Substitution: https://www.youtube.com/watch?v=ocgjfF2AboA Integration By Partial Fractions: https://www.youtube.com/watch?v=6rXByMcuAyI Trapezoidal Rule: https://www.youtube.com/watch?v=Rn9Gr52zhrY Simpson's Rule: https://www.youtube.com/watch?v=7EqRRuh-5Lk _____________________________________________________________________________________ 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 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 Normal Distributions - Calculus: https://www.youtube.com/watch?v=gHBL5Zau3NE Homogeneous Differential Equations: https://www.youtube.com/watch?v=ZEJVyybsiT4 1st Order Linear Diff. Equations: https://www.youtube.com/watch?v=gd1FYn86P0c Bernoulli's Equation - DE: https://www.youtube.com/watch?v=BoI_ej-T0V4 Slope Fields: https://www.youtube.com/watch?v=Wr9VOum9Co0 Converging & Diverging Sequences: https://www.youtube.com/watch?v=XdkoTb8PEG0 Monotonic & Bounded Sequences: https://www.youtube.com/watch?v=tHy3TXmZpF0 Absolute Value Theorem - Sequences: https://www.youtube.com/watch?v=kH5Zqg5j-3M _____________________________________________________________________________________ SAT Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY ACT Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Full Length Exams + Worksheets: https://bit.ly/4990rzU