🔵15 - Linear Differential Equations: Initial Value Problems (Solving Linear First Order ODE's)

In this video, we shall consider another method in solving differential Equations, we shall be looking at linear first order differential equations. A Linear First Order Differential Equation is an equation of the form dy/dx + p(x) = q(x), where both p and q are all functions of x. Steps to solve Linear First Order ODE 1. Rearrange the DE in the form: dy/dx + p(x)y = q(x) 2. Find the integrating factor, u(x) 3. Solve for the general solution 00:00 - Ex 1 08:11 - Ex 2 15:10 - Ex 3 Playlists on various Course 1. Applied Electricity https://www.youtube.com/playlist?list=PLInywrvFyvq7pFsDEDu2-n0f5UOhpqWBD 2. Linear Algebra / Math 151 https://www.youtube.com/playlist?list=PLInywrvFyvq4IE-nW-ikwkZ2v81n31HQX 3. Basic Mechanics https://www.youtube.com/playlist?list=PLInywrvFyvq6FUfAigJ3157kg-nZ020fd 4. Calculus with Analysis / Calculus 1 / Math 152 https://www.youtube.com/playlist?list=PLInywrvFyvq6_G3iA7LHbt5exJgGbp4Ok 5. Differential Equations / Math 251 https://www.youtube.com/playlist?list=PLInywrvFyvq408vWA5OYXShA6rlT51TdS 6. Electric Circuit Theory / Circuit Design https://www.youtube.com/playlist?list=PLInywrvFyvq4sNicTbLBUpgkxrkcs2OGN Make sure to watch till the end. Like, share, and subscribe. Thank you.