Virtual Lessons: Substitution

Substitution methods are processes for transforming a given equation to reveal a particular structure. Substitution is a powerful technique for solving differential equations, particularly for those that cannot be solved using other methods. Bernoulli differential equations, which are a type of nonlinear first-order differential equation, can often be solved using substitution. This technique involves introducing a new variable and function that relates the original variables in a specific way. In this tutorial, we will explore the steps involved in solving differential equations by substitution, with a focus on Bernoulli differential equations.

Some differential equations may require a substation before we can determine how to solve them.

How do we know when a substitution is a good substitution?