Finding Particular Solutions of Differential Equations Given Initial Conditions

This calculus video tutorial explains how to find the particular solution of a differential equation given the initial conditions. It explains how to find the function given the first derivative with one initial condition and how to find the function given the second derivative with two initial conditions using indefinite integration. You need to know how to find the antiderivative and indefinite integral of a function to get through this video. This tutorial contains plenty of examples and practice problems on finding particular solutions of differential equations. Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU Continuity & Differentiability: https://www.youtube.com/watch?v=fml0-ELYLaE& Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 Local Maximum & Minimum: https://www.youtube.com/watch?v=WCq3sRzsJfs L'Hopital's Rule: https://www.youtube.com/watch?v=Gh48aOvWcxw Curve Sketching With Derivatives: https://www.youtube.com/watch?v=JTVNUdL7sWs Newton's Method: https://www.youtube.com/watch?v=-5e2cULI3H8 Optimization Problems: https://www.youtube.com/watch?v=lx8RcYcYVuU ____________________________________________________________________________________ Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig Basic Integration Problems: https://www.youtube.com/watch?v=zOxaUlRkFG0 Indefinite Integral: https://www.youtube.com/watch?v=JTFMeSCxgcA Definite Integral: https://www.youtube.com/watch?v=Gc3QvUB0PkI Differential Equations: https://www.youtube.com/watch?v=H5tD_NtPDuU Properties of Definite Integrals: https://www.youtube.com/watch?v=QcHz3h81U-s Rectilinear Motion Problems: https://www.youtube.com/watch?v=LBmET4sH460 Sigma Notation - Calculus: https://www.youtube.com/watch?v=XJkIaw2e1Pw Riemann Sums - Area: https://www.youtube.com/watch?v=YTKQswb60Pw The Midpoint Rule: https://www.youtube.com/watch?v=5XreKMJDJsg ____________________________________________________________________________________ Finding Area - Limit Definition: https://www.youtube.com/watch?v=ctEpKZyxqFU Definite Integrals - Geometry: https://www.youtube.com/watch?v=ghxEOz9rmwE Fundamental Theorem - Part 1: https://www.youtube.com/watch?v=aeB5BWY0RlE Fundamental Theorem - Part 2: https://www.youtube.com/watch?v=ns8N1UuXl4w Net Change Theorem: https://www.youtube.com/watch?v=df1Qr8pepx0 Mean Value Theorem - Integrals: https://www.youtube.com/watch?v=bLeglo-c5Tw Average Value of a Function: https://www.youtube.com/watch?v=MB1xDNKimNc U-Substitution - Indefinite Integrals: https://www.youtube.com/watch?v=sdYdnpYn-1o U-Substitution - Definite Integrals: https://www.youtube.com/watch?v=tM4RWc9ryx0 1st Order Differential Equations: https://www.youtube.com/watch?v=C7nuJcJriWM _____________________________________________________________________________________ Initial Value Problem: https://www.youtube.com/watch?v=kwGukY_2qWQ Area Between Two Curves: https://www.youtube.com/watch?v=kgg5Rspf1Js Disk and Washer Method: https://www.youtube.com/watch?v=SAHSVg7Jw_A Volume By The Shell Method: https://www.youtube.com/watch?v=D5sT1br9soI Volume By Cross Sections: https://www.youtube.com/watch?v=qMXPnfx2MQM Arc Length Calculus Problems: https://www.youtube.com/watch?v=DNDAwWIL5FY Surface Area of Revolution: 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 Trigonometric Integrals: https://www.youtube.com/watch?v=3pXALn2ovIE _____________________________________________________________________________________ GPA Calculator: https://www.youtube.com/watch?v=qYHsThZWydY Save Money In College: https://www.youtube.com/watch?v=yNO02qfMSwI 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