Solving Partial Differential Equations
Not what you're looking for?
Please see the attached file for the fully formatted problems.
1. Solve
u(0,t) = u(,t) =0
u(x,0) = xsinx ,
Purchase this Solution
Solution Summary
A PDE is solved. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
1. Solve
u(0,t) = u(,t) =0
u(x,0) = xsinx ,
We start by setting the function u(x,t) as a product of a single-variable functions:
Therefore the partial derivatives become:
Plugging it back into the equation, one obtains:
Dividing by separates the equation:
Since both sides are totally independent (each is a function of an ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Probability Quiz
Some questions on probability