Each DE in Problems 15–22 is a Bernoulli equation.
In Problems 21 and 22 solve the given initial-value problem.
In this problem we need to solve the given initial value problem.
First we arranging the differential equation to change it to the standard form of bernoulli's equation i.e. by dividing both sides by , we get
Dividing both sides by , we get
To solve this we make the substitution .
Differentiating with respect to y, we get
From above equation we get .
We can write as follows
Substituting and in the differential equation , we get
Multiplying both sides by , we get
The equation is not in the standard form of bernoulli’s equation. To calculate the integrating factor, we do as follows
Textbook: A First Course in Differential Equations with Modeling Applications
Author: Dennis G. Zill
The full step-by-step solution to problem: 21E from chapter: 2.5 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. The answer to “Each DE in 15–22 is a Bernoulli equation.In 21 and 22 solve the given initial-value problem.” is broken down into a number of easy to follow steps, and 16 words. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. Since the solution to 21E from 2.5 chapter was answered, more than 240 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Bernoulli, equation, given, initial. This expansive textbook survival guide covers 109 chapters, and 4053 solutions.