https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-6/v/separable-differential-equations-introduction 2020-08-28T01:50:20Z Separable equations introduction "Separation of variables" allows us to rewrite differential equations so we obtain an equality between two integrals we can evaluate. Separable equations are the class of differential equations that can be solved using this method. video https://cdn.kastatic.org/googleusercontent/ZKXANQ6QpWN9n8xYLGZgkmBgywHL0QGLLUSgb7_HT_bEj73XWtdd1lY8Ang30UobwgKPqOpyxkEgfOBiM0AJA3c Separable equations introduction "Separation of variables" allows us to rewrite differential equations so we obtain an equality between two integrals we can evaluate. Separable equations are the class of differential equations that can be solved using this method. https://cdn.kastatic.org/ka-youtube-converted/DL-ozRGDlkY.mp4/DL-ozRGDlkY.mp4 546 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-6/v/addressing-treating-differentials-algebraically 2022-10-07T01:21:57.107451925Z Addressing treating differentials algebraically Addressing treating differentials algebraically video https://cdn.kastatic.org/ka_thumbnails_cache/25c5f62a-a5ae-44f3-adb5-abcd6a9c66e5_1280_720_base.png Addressing treating differentials algebraically Addressing treating differentials algebraically https://cdn.kastatic.org/ka-youtube-converted/KQ7Y31QgX_w.mp4/KQ7Y31QgX_w.mp4 284 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-6/v/identifying-separable-equations 2022-10-07T01:21:57.107451925Z Worked example: identifying separable equations Separable equations can be written in the form dy/dx=f(x)g(y). See how we analyze various differential equations to see if they are separable. video https://cdn.kastatic.org/ka_thumbnails_cache/62190444-0ef1-463c-8d93-091e6dab8625_1280_720_base.png Worked example: identifying separable equations Separable equations can be written in the form dy/dx=f(x)g(y). See how we analyze various differential equations to see if they are separable. https://cdn.kastatic.org/ka-youtube-converted/6vUjGgI8Dso.mp4/6vUjGgI8Dso.mp4 297 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-7/v/particular-solution-to-differential-equation-example 2021-05-28T22:26:28Z Worked example: finding a specific solution to a separable equation Solving a separable differential equation given initial conditions. In this video, the equation is dy/dx=2y² with y(1)=1. video https://cdn.kastatic.org/googleusercontent/PbKzhBGRw401VhReWMAxVafCvshXZHlLY0uFlq4uthlB-VAWM7FfZyH3edUJNklwruwbrwEIvBmYnkl7tA7GUq6k Worked example: finding a specific solution to a separable equation Solving a separable differential equation given initial conditions. In this video, the equation is dy/dx=2y² with y(1)=1. https://cdn.kastatic.org/ka-youtube-converted/E444KhRcWSk.mp4/E444KhRcWSk.mp4 338 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-7/v/using-particular-solution-to-separable-differential-equation 2022-10-07T01:21:57.107451925Z Worked example: separable equation with an implicit solution Sometimes the solution of a separable differential equation can't be written as an explicit function. This doesn't mean we can't use it! video https://cdn.kastatic.org/ka_thumbnails_cache/f231a7a8-6115-49eb-95bb-dc9349a2db98_1280_720_base.png Worked example: separable equation with an implicit solution Sometimes the solution of a separable differential equation can't be written as an explicit function. This doesn't mean we can't use it! https://cdn.kastatic.org/ka-youtube-converted/72xChzYjJdM.mp4/72xChzYjJdM.mp4 198 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-7/e/separable-differential-equations 2026-04-07T22:23:57.656416987Z Particular solutions to separable differential equations Solve and analyze separable differential equations, like dy/dx=x²y. Ben Eater exercise https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homegenous-equations 2020-08-25T03:15:49Z First order homogenous equations Introduction to first order homogenous equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/JlImpq1YNQpBPJsl6HZ_xjlYTItYDyS-8LjGUOT2OMZuUtYvOUENhTykcXl-7i0r92Uf4tHH4i2pt25LudszAnAk4w First order homogenous equations Introduction to first order homogenous equations. https://cdn.kastatic.org/ka-youtube-converted/9Wfn-WWV1aY.mp4/9Wfn-WWV1aY.mp4 441 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation 2021-07-03T00:16:54Z Worked example: linear solution to differential equation If a particular solution to a differential equation is linear, y=mx+b, we can set up a system of equations to find m and b. See how it works in this video. video https://cdn.kastatic.org/googleusercontent/bqb5FyIzE7ITZOh2v23yjlxI57NoJVEh7HVfUD3hQDjms16SHql7s_ikj1WaRGljkqZCNUBB1OE2rwjGXPUBaENNKg Worked example: linear solution to differential equation If a particular solution to a differential equation is linear, y=mx+b, we can set up a system of equations to find m and b. See how it works in this video. https://cdn.kastatic.org/ka-youtube-converted/zid7J4EhZN8.mp4/zid7J4EhZN8.mp4 391 Methods of Solving First Order, First Degree Differential Equations https://www.khanacademy.org/math/grade-12-math-snc-aligned/x35fdd21198d6755b:differential-equations/x35fdd21198d6755b:linear-homogeneous-differential-equations/e/differential-equations-9-5 2025-05-05T08:14:25.350149109Z Solving homogeneous differential equations Differential equations ashish exercise https://www.khanacademy.org/math/class-12-tg/x6469e28db15923ec:differential-equations/x6469e28db15923ec:solving-differential-equations/e/differential-equations-9-6 2025-05-05T08:14:25.350149109Z Solving linear differential equations Differential equations ashish exercise