Differential Equations: Variable Separable Form

The video tutorial covers methods to solve first order, first degree differential equations, focusing on variable separable, homogeneous, and linear types. It explains the process of separating variables, integrating both sides, and finding general and particular solutions. Examples include solving differential equations for curves and applying these concepts to real-world scenarios like continuous growth in banking. The tutorial emphasizes understanding the form of differential equations and using integration to find solutions.

Explain how to find the equation of a curve passing through a specific point given its differential equation.

What is the process to solve a differential equation that models continuous growth, such as in a bank?

How can you determine the time required for an investment to double at a given interest rate?