Recognizing and solving Bernoulli differential equations + example with AWP
Any equation that contains a derivative is called a "differential equation" (OD). These equations are used, for example, in the natural sciences and economics to express change behavior. The Bernoulli ODE is very similar to a first-order linear ODE. In this video, you'll learn what it looks like, what relationships exist, and how to solve it!
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Content:
0:00 What to expect
0:40 Recognizing Bernoulli ODEs
3:43 General solution to a Bernoulli ODE
4:57 Why is alpha not 0 or 1?
5:54 Example
7:29 Step 1: Substitution
9:19 Step 2: Solving a first-order linear ODE
12:32 Step 3: IEP + backsubstitution
15:27 #ADVERTISING