Doubt

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rohan saxena

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Sep 19, 2012, 8:43:32 AM9/19/12
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Given
u=f((y-x)xy , (z-x)/xz)

x^2du/dx + y^2du/dy + z^2du/dz = g(x,y,z)

Find g(x,y,z)??

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Sarita Math

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Sep 19, 2012, 11:48:48 AM9/19/12
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The derivatives are all partial derivatives.
Let us take,


Then,

Then g(x,y,z)


Notice that f is a function of v, w and v, w are functions of x, y, z.

Ravi Ranjan

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Sep 19, 2012, 2:26:09 PM9/19/12
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Ques 2 ode assignment ... Solution please...

Sarita Math

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Sep 20, 2012, 1:29:15 AM9/20/12
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See the attach file
Document 4.pdf

apurv priyam

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Sep 20, 2012, 8:09:42 AM9/20/12
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ques 15 ODE assignment.

Sarita Math

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Sep 20, 2012, 9:03:38 AM9/20/12
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multiply both side by  , we get



 
Let us take
Now putting this values, we get,


Which is linear in z, whose integrating factor =

Hence solution is,

Now putting, 

   
 we get,

where c is the integration constant. 
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