This document presents an introduction to solving non-linear differential equations. It explains that non-linear differential equations can be solved using simple algebra, as demonstrated in problems 1 and 2. Problem 3 shows solving an equation where y is a function of both x and p by differentiating with respect to x and then substituting the value of p. The document encourages subscribers to the channel and provides a link for more information.

1. Graduate /Engineering mathematics

2. Non- linear differential
equations (Part 1)
Graduate math/engineering math

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4.  This presentation explains what are non linear differential equations and the
technique to solve them.
 Problems 1 and 2 illustrate how to solve a non linear differential equation
using simple algebra.
 Problem 3 showcases a function of the form y = F (x,p) and shows that we
solve it for y, (we differentiate w.r.t x)
 We also learn how to substitute the value of p in the equation.

8. Question 1

14. Question 2

23. Question 3

29.  We have learnt what are non linear differential equations and how to solve
them.
 When y is a function of x and p, we solve for y , we differentiate w.r.t x.
 We also learn how to substitute the final value of p in the equation to find
the general solution.

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31.  Watch out for the next video on this topic which introduces Clairut’s
equation.