🔵11a - Homogeneous First Order Differential Equations (Solved Examples)

In this video, we shall study homogeneous differential equations and solve a couple of them A differential equation of the form M(x,y)dx + N(x,y)dy is said to be homogeneous if the functions M and N are homogeneous functions of the same degree. Alternatively a differential equation of the form dy/dx = F(x,y) is said to be homogeneous if the function F(x,y) is homogeneous of degree 0. Homogeneous differential equations are not of variable separable type but can be made separable by plugging in two equations; 1. y = vx 2. dy/dx = v + xdv/dx After substitution the differential equations becomes separable In this lesson we shall solve three major examples 00:00 - Homogeneous Differential Equations 04:01 - Ex 1 17:34 - Ex 2 31:01 - 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.