- #1
Md. Abde Mannaf
- 20
- 1
Homework Statement
test intelligibility and solve 2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)=0
Solving 2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)=0
- Thread starter Md. Abde Mannaf
- Start date
In summary, the problem is to test for exactness and solve the equation 2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)dz=0. The poster also mentions a possible typo and suggests a correction for the second term.
test intelligibility and solve 2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)=0
- #2
Md. Abde Mannaf
- 20
- 1
how to integrate after??
- #3
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I think the word you want is "exactness", not "intelligibility".Md. Abde Mannaf said:
I'm just guessing here, but I bet you have the second term wrong. Instead of
(2yz-x2 +y2-z2)dy
did you mean
##(2yz-x^2-y^2+z^2)dy##?
- #4
SammyS
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Judging by the workings which you included, you have a typo in your statement of the problem. It's missing dz .Md. Abde Mannaf said:
2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)dz=0
FAQ: Solving 2x(y+z)dx+(2yz-x2 +y2-z2)dy+(2yz-x2 -y2-z2)=0
1. What is the purpose of solving this equation?
The purpose of solving this equation is to find the value(s) of x, y, and z that satisfy the equation and make it true. This allows us to solve for unknown variables and understand the behavior of the given system.
2. How do you solve this equation?
This equation can be solved using various methods such as substitution, elimination, or graphing. The specific method used will depend on the type of equation and the given variables. It is important to follow the correct steps and manipulate the equation until a solution is found.
3. What are the steps involved in solving this equation?
The first step in solving this equation is to simplify it by combining like terms and rearranging the equation. Then, choose a method of solving such as substitution or elimination. Next, solve for one variable and substitute the found value into the original equation to solve for the remaining variables. Finally, check the solution by plugging it back into the original equation.
4. Can this equation have multiple solutions?
Yes, this equation can have multiple solutions for x, y, and z. This is because there are three variables and only one equation, meaning there are an infinite number of solutions that can satisfy the equation. It is important to verify the solution and check for any restrictions on the variables.
5. What are some real-life applications of solving equations like this?
Solving equations like this can be useful in various fields such as physics, chemistry, and engineering. For example, in physics, this type of equation can be used to model and understand the behavior of a system in motion. In chemistry, solving equations can help determine the concentration of a solution or the rate of a reaction. In engineering, equations like this can be used to design and optimize systems or processes.