Solving Diff EQs: Find Solution & Related Functions

In summary, the conversation was about finding a solution and related functions for a given equation. The person submitted a solution which turned out to be wrong, but upon further examination, it was found to be correct. The program used to generate numbers may have caused some confusion.
  • #1
mr_coffee
1,629
1
more Diff EQ fun!

http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/58/6217226076d5fd259f53ad1e3ed4071.png
Find such a solution and then give the related functions requested.
http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/57/f15a6cea760ce4906a6ec16f9d29451.png
I submitted this:
http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/fb/2d83d3f390393ffc52b32ad0bd9fbf1.png
which was wrong! wee!

Here is my work:
http://img8.imageshack.us/img8/9514/lastscan6bj.jpg
 
Last edited by a moderator:
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  • #2
What's with the [itex]1\sin (y)[/itex] ? Are you sure it's not [itex]i\sin (y)[/itex] ?
 
  • #3
If it is indeed [itex]1\sin (y)[/itex] I get

[tex]F(x,y)=-7x^2-5x+e^y\left( 4\cos (y) + 5\sin (y)\right) =K[/tex]

same as you.
 
  • #4
yep that bad boy is definatley a 1, this program will randomly generate numbers, some people actually got 0's infront of theirs, i will e-mail the professor to see if the problem is working correctly!
 

1. What is a differential equation?

A differential equation is a mathematical equation that relates a function to its derivatives. It is used to describe how a variable changes over time or space, and it is an important tool in many fields of science and engineering.

2. How do you solve a differential equation?

The process of solving a differential equation involves finding a function that satisfies the equation. This can be done through various methods such as separation of variables, integration, or using a specific formula for certain types of equations.

3. What is the general solution to a differential equation?

The general solution to a differential equation is a set of functions that satisfy the equation and can be obtained by using an arbitrary constant. It represents all possible solutions to the equation.

4. How do you find a particular solution to a differential equation?

In order to find a particular solution, you need to have initial conditions or boundary conditions. These are values that the solution must satisfy at a specific point or interval. By substituting these values into the general solution, you can find the particular solution to the equation.

5. What are the applications of solving differential equations?

Differential equations are used in many areas of science and engineering, such as physics, chemistry, biology, economics, and engineering. They can be used to model real-world phenomena and make predictions about how a system will behave over time.

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