In this video I introduce you to how we solve differential equations by separating the variables. I demonstrate the method by first talking you through differentiating a function by implicit differentiation and then show you how to solve

Solve:

  1. \dfrac{dy}{dx} = \dfrac{10x - 1}{4 + 3{y^2}}\text{, \ \ given  }x = 1 \text{,  }y = 0

by finding the general solution first and then use the initial conditions to find the particular solution.

Which side does the Constant C go?

I am often asked which side should the constant of integration go. Well it doesn’t matter and hopefully this video will show you why.