Cheeky99: Solving ydy=(-x+ √(x^2 + y^2))dx

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In summary, Cheeky99 is a mathematical equation involving solving a differential equation and finding the general solution for the relationship between variables x and y. It has applications in physics, engineering, and economics, and can be solved using various techniques such as substitution and integration.
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HallsofIvy
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Hey i need some help finding the general solution of

ydy= (-x+ √(x^2 + y^2))dx

by using the substitution y= vx and then the substitution u^2= 1 + v^2

It would be great if someone could help.
 
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One, this looks like homework which should be in the homework area. Second you have shown no work at all. You are told to use the substitution y= vx. What do you get when you do that?
 

FAQ: Cheeky99: Solving ydy=(-x+ √(x^2 + y^2))dx

What is Cheeky99?

Cheeky99 is a mathematical equation that involves solving a differential equation of the form ydy=(-x+ √(x^2 + y^2))dx.

How do you solve Cheeky99?

The first step in solving Cheeky99 is to separate the variables, x and y, to one side of the equation and the differentials, dx and dy, to the other side. Then, integrate both sides to solve for y.

What is the purpose of solving Cheeky99?

The purpose of solving Cheeky99 is to find the general solution for the differential equation and to understand the relationship between the variables x and y.

What are the applications of Cheeky99?

Cheeky99 has various applications in the fields of physics, engineering, and economics. It can be used to model real-life situations involving rates of change, such as population growth or chemical reactions.

Are there any special techniques for solving Cheeky99?

Yes, there are various techniques for solving Cheeky99, such as using substitution, integration by parts, or using trigonometric identities. The technique used depends on the complexity of the equation.

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