Is This the Correct Approach to Solving Partial Differential Equations?

In summary, the conversation discusses a student's question regarding solving a problem and the difficulties in understanding the handwritten work provided. The suggestion is made to use the homework template and the advanced input editor to provide clearer and easier to understand solutions.
  • #1
mirinmari0
1
0
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Homework Equations


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The Attempt at a Solution


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I am wondering if this is the right direction in solving this. any input would be great! Sorry for the messy handwriting!
 
Last edited:
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  • #2
Welcome to PF!

Well the first problem with your post is posting images.

And the second problem with your post is it show two questions and some work done on paper.

Which question are you trying to solve and what page goes with what question?

My suggestion is to follow our homework template and type in what you've got so people can see it more clearly.

We have an advanced input editor that can provide latex support for entering your formulas.

This is probably why no one has responded yet as its hard to point out where you went wrong from an image of your work.
 

1. What are partial differential equations (PDEs)?

Partial differential equations (PDEs) are mathematical equations that involve multiple independent variables and their partial derivatives. They are used to describe how a function or process changes over space and time.

2. What is the difference between a partial differential equation and an ordinary differential equation?

The main difference between a partial differential equation and an ordinary differential equation is that PDEs involve multiple independent variables, whereas ODEs only involve one independent variable. Additionally, PDEs also involve partial derivatives while ODEs only involve ordinary derivatives.

3. What are some real-world applications of partial differential equations?

PDEs are used to model many physical phenomena, such as heat transfer, fluid dynamics, electromagnetism, and quantum mechanics. They are also commonly used in engineering, economics, and other fields to solve problems involving multiple variables and their rates of change.

4. What are some common techniques for solving partial differential equations?

Some common techniques for solving PDEs include separation of variables, method of characteristics, Fourier transforms, and numerical methods such as finite difference and finite element methods.

5. How can I improve my understanding of partial differential equations?

To improve your understanding of PDEs, it is important to have a strong foundation in calculus and linear algebra. Additionally, practicing solving various types of PDEs and studying their applications in different fields can also help deepen your understanding.

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