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| Name | How To Solve First Order Homogeneous Differential Equation |
| Video Uploader | Video From Tambuwal Maths Class |
| Upload Date | This Video Uploaded At 06-10-2020 05:26:47 |
| Video Discription | This looks simple enough, but we find that we cannot express the RHS in the form of 'x-factors' and 'y-factors', so we cannot solve by the method of separating the variables. In this case we make the substitution y = vx, where v is a function of x. So y = vx. Differentiate with respect to x (using the product rule): dy/dx = v+x(dv/dx) then you substitute for y and dy/dx in the main equation thereby transforming the Equation in to separable type. Note: dy/dx =(x+3y)/2x is an example of a #homogeneous #differential #equation. This is determined by the fact that the total degree in x and y for each of the terms involved is the same (in this case, of degree 1). The key to solving every homogeneous equation is to substitute y = vx where v is a function of x. This converts the equation into a form which we can solve by separating the variables. If you find this video interesting, kindly subscribe to my channel for more exciting Maths tutorials. Subscribe link: http://bit.ly/lhussaini Facebook: https://fb.com/lhtambuwal Instagram: https://instagram.com/tambuwal_maths_class Linkedin: https://linkedin.com/in/lhussaini Blog: https://lhussaini.blogspot.com |
| Category | Education |
| Tags | differential Equation | differential equations | Homogeneous differential equations | non-homogeneous Differentiatial Equations | exact differentiatial Equations | variable separable |
