First Order but not First Degree ODEs Solvable for x | Worked Examples |

In the previous two videos we learnt how to solve a First Order but not First Degree ordinary differential equation 1. which is solvable for p, and 2. which is solvable for y . The link of the videos is given below:
Equations solvable for p:
https://www.youtube.com/watch?v=yASuri64PzM
Equations solvable for y:
https://www.youtube.com/watch?v=eXb8n_HRvPg
In This video we show how to find the general solution of First Order but not First Degree ODEs f(x, y, p)=0, which are Solvable for x.
The procedure is :
Step1-First we solve the given differential equation for x and write it in the form x=g(y,p).
Step 2-Next we differentiate the form in obtained in 1, w.r.t y. This way we eliminate x variable .
Step3-We consider that factor in 2, which involve dp/dy to find the general solution of the given higher degree differential equation. This factor when equated to zero is a first order and first degree ODE with p as dependent variable and y as independent variable. we solve it for p variable.
Step4-The general solution of the given higher degree differential equation is obtained by eliminating p from equation in step 1 and expression for p obtained in step3.
Time stamps:
00:00 Introduction
02:17 Example 1
12:07 Example 2
#differentialequations

Видео First Order but not First Degree ODEs Solvable for x | Worked Examples | канала MATHS etc.(हिंग्LISH)