- #1

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form the differential equation for the follwing equation

(x^2)/a^2 +(y^2)/b^2+(Z^2)/c^2 =1

(x^2)/a^2 +(y^2)/b^2+(Z^2)/c^2 =1

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- Thread starter dvs77
- Start date

- #1

- 12

- 0

form the differential equation for the follwing equation

(x^2)/a^2 +(y^2)/b^2+(Z^2)/c^2 =1

(x^2)/a^2 +(y^2)/b^2+(Z^2)/c^2 =1

- #2

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Just to keep us busy or what?

Show us your work!!!

Show us your work!!!

- #3

cepheid

Staff Emeritus

Science Advisor

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Form the differential equation for the following equation:

[tex] \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1 [/tex]

I don't get it...how do you get a PDE out of that?

- #4

- 13,109

- 663

No,find the PDE whose solution is the ellipsoid's implicit equation...

Daniel.

Daniel.

- #5

cepheid

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Science Advisor

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I see, ok. That wasn't really clear before.

- #6

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I mean u get a First order or second order partial differential equation

- #7

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The question is a bit ambigous...let's take a simpler exemple, nonparametric :

y(x)=x^2

Then there are an infinity of differential equation having that solution :

y'=2Sqrt(y)

y''=y'/Sqrt(y)

aso....

Moreover I don't know if you want the parametric equation or the explicit version...(ie. x=x(theta,phi) or x=x(y,z)...)

Just plug in this in your equation and differentiate....

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