How to Solve Differential Equations By Separation of Variables | Particular Solution

Опубликовано: 14 Октябрь 2024
на канале: John's Maths Book

In part 2 of this series, I explain how to use the separation of variables technique to solve first order differential equations and find the Particular Solution using an initial value

I then demonstrate how to separate the variables, x and y, by moving the y variables to the left hand side of the equation and the x variables to the right hand side of the equation and then integrating both sides of the equation to find the general solution to the differential equation. I then extend this by demonstrating how to substitute the initial values, provided, to determine the value of the constant C in the general solution of the differential equation.

I use 2 examples to demonstrate this technique in action to find the particular solution of 1st order differential equations.