https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-2/v/verifying-solutions-to-differential-equations 2022-10-07T01:21:57.107451925Z Verifying solutions to differential equations We can check whether a potential solution to a differential equation is indeed a solution. What we need to do is differentiate and substitute both the solution and the derivative into the equation. video https://cdn.kastatic.org/googleusercontent/J_ZR3c8jrH7Kffcc4sLmqrxeW2cgLMaPVLqva4fCeKUPY_fVUBZttVfdaQCZOFGE-eGSXexRKLrKh6Ow0M83p9xC Verifying solutions to differential equations We can check whether a potential solution to a differential equation is indeed a solution. What we need to do is differentiate and substitute both the solution and the derivative into the equation. https://cdn.kastatic.org/ka-youtube-converted/KZqg4L--YC0.mp4/KZqg4L--YC0.mp4 352 General and particular solutions of differential equation https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-2/e/introduction-to-differential-equations-and-initial-value-problems 2025-05-05T08:14:25.350149109Z Verify solutions to differential equations Solve some basic problems about checking or finding particular and general solutions to differential equations. Tomer Gal exercise https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-7/v/finding-constant-of-integration-rational 2022-09-27T03:20:10.805796422Z Particular solutions to differential equations: rational function Sal finds f(-1) given that f'(x)=24/x³ and f(2)=12. video https://cdn.kastatic.org/ka_thumbnails_cache/d6f79c53-e014-4dc6-b97e-b4d2d1a356a4_1280_720_base.png Particular solutions to differential equations: rational function Sal finds f(-1) given that f'(x)=24/x³ and f(2)=12. https://cdn.kastatic.org/ka-youtube-converted/bjdOWH43-9s.mp4/bjdOWH43-9s.mp4 264 General and particular solutions of differential equation https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-7/v/finding-constant-of-integration-exponential 2022-10-07T01:21:57.107451925Z Particular solutions to differential equations: exponential function Sal finds f(0) given that f'(x)=5eˣ and f(7)=40+5e⁷. video https://cdn.kastatic.org/ka_thumbnails_cache/d0059941-f7f1-4b96-8948-6b7e96114cf6_1280_720_base.png Particular solutions to differential equations: exponential function Sal finds f(0) given that f'(x)=5eˣ and f(7)=40+5e⁷. https://cdn.kastatic.org/ka-youtube-converted/T8rbpI4OZCc.mp4/T8rbpI4OZCc.mp4 188 General and particular solutions of differential equation https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-7/e/indefinite-integrals 2025-05-05T08:14:25.350149109Z Particular solutions to differential equations Practice finding what that little "+c" should be when your integral is used for a real problem. Tomer Gal exercise