How Do You Solve Linear Differential Equations with an Integrating Factor?

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In summary, the purpose of asking "What type of question is this?" is to determine the type of question being asked. There are generally three types of questions: open-ended, closed-ended, and probing questions. To determine the type of question, one can look at the structure and wording of the question. Some examples of open-ended questions include "How do you think we can improve this process?", "Why do you believe this is the best solution?", and "What are your thoughts on the current situation?". A question can have elements of both open-ended and closed-ended, such as "Do you think this approach will work? Why or why not?".
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franky2727
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methord to use?

find the solution of the initial value problem y'+(3/x)y=e2x/x3 y(1)=1
 
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What type of question do you think it is?
 
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This is a linear differential equation. Probably the simplest way to do it is to find an integrating factor. Can you find a function, [itex]\mu(x)[/itex] such that
[tex]\frac{d\mu y}{dx}= \mu\frac{dy}{dx}+\frac{d\mu}{dx}y= \mu\frac{dy}{dx}+(3\mu /x^3)y[/tex]?
 

Related to How Do You Solve Linear Differential Equations with an Integrating Factor?

1. What is the purpose of asking "What type of question is this?"

The purpose of asking this question is to determine the type of question being asked. Knowing the type of question can help in understanding the intent of the question and providing an appropriate response.

2. How many types of questions are there?

There are generally three types of questions: open-ended, closed-ended, and probing questions. Open-ended questions allow for a variety of responses and encourage discussion. Closed-ended questions have specific answers and are often used to gather specific information. Probing questions are used to gather more in-depth information or to clarify a response.

3. How do I know which type of question I am asking?

To determine the type of question, you can look at the structure and wording of the question. Open-ended questions typically start with "how" or "why", while closed-ended questions often start with "do", "does", or "is". Probing questions often start with "can you tell me more about..." or "can you elaborate on...".

4. What are some examples of open-ended questions?

Some examples of open-ended questions include: "How do you think we can improve this process?", "Why do you believe this is the best solution?", and "What are your thoughts on the current situation?"

5. Can a question be both open-ended and closed-ended?

Yes, a question can have elements of both open-ended and closed-ended. For example, "Do you think this approach will work? Why or why not?" is a question that starts with a closed-ended question and then allows for an open-ended response.

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