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. Application of Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 ______________________________ 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 __________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections