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[tex] f(U,V) = \lambda^{2} e^{-(u+v)\lambda}[/tex]

How do I get:

f(X,Y)

where

X = U+V

Y =UV

all I'm able to get is

[tex] f(X,Y) = \lambda^{2} \e^{-(x)\lambda} |J|[/tex]

where J is the Jacobian.

But the Jacobian is too complicated since I was able to solve that:

[tex]U = \frac{X + \sqrt{X^{2} - 4Y}}{2}[/tex]

and

[tex]V = \frac{2Y}{X + \sqrt{X^{2} - 4Y}}[/tex]

help please.

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# Homework Help: Transform f(U,V) to f(X,Y)

**Physics Forums | Science Articles, Homework Help, Discussion**