All the answers to the problems in Denis Zill’s Differential Equations with Boundary-Value Problems (7th Edition) may be found here on our website. To assist students and professionals succeed in their studies and careers, our website is devoted to offering high-quality mathematical answers.

Since we know how difficult it may be to solve differential equations with boundary-value issues, we’ve taken the time to carefully construct our answers to include clear, step-by-step instructions and extensive explanatory notes. Our detailed explanations of how to solve differential equations apply to a broad variety of chapters and homework problems throughout the book.

We hope that our website will be useful to you whether you are a student of mathematics or a professional in a related subject. The solutions we provide for differential equations with boundary-value issues are meant to be readily available, intuitive, and comprehensive.

We appreciate you considering our site while looking for help with maths problems. Our goal is for you to achieve academic and professional success with the aid of our services and materials.

In Problems 1–22, is the solution of the given differential equation by separation of variables. You may obtain a detailed answer by clicking on the question.

1: Step by Step Solution

Here we Solve by separation of variables dy/dx= sin5x. .

Given differential equation is:

(1)

We can separate the variables as follows:

(2)

Now, we can integrate both sides of the equation:

(3)

Integrating the left-hand side, we get:

(4)

where is the constant of integration.

For the right-hand side, we can use the substitution and to obtain:

(5)

where is another constant of integration. Substituting back , we have:

(6)

Substituting this back into our original equation, we have:

(7)

where and are constants of integration.

Therefore, the solution to the differential equation is:

(8)

where is the constant of integration.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

Do you like cookies? 🍪 The website stores data such as cookies to enable site functionality including analytics and personalization. By using this website, you automatically accept that we use cookies.