Equation with partial derivative
Find all the functions f that are continuously differentiable such that:
$\frac{\partial f}{\partial x}-3\frac{\partial f}{\partial y}=0 $
We were given a beneficial hint:
define: u(x,y)= ax + by
v(x.y)=cx+dy
f(x,y)=F(u(x,y),v(x,y))
ad-bc≠0
$\frac{\partial f}{\partial x}-3\frac{\partial f}{\partial y}=0 $
We were given a beneficial hint:
define: u(x,y)= ax + by
v(x.y)=cx+dy
f(x,y)=F(u(x,y),v(x,y))
ad-bc≠0
Answer
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Martin
1.7K
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I'm not sure how you differentiate f(x,y) if f(x,y)=g((3x+y)/2), in which g is a single variable. Can you show it, please?
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I added the explanation at the end.
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The answer is accepted.
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