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klio [65]
3 years ago
10

Determine whether the given relation is an implicit solution to the given differential equation. assume that y is a function of

x.
Mathematics
1 answer:
Xelga [282]3 years ago
6 0
Differentiate:x^2 + y^2 = 4 
You get this:2x + 2yy' = 0 
bring the x variable on the other side:2yy' = -2x 
Now divide 2y to leave y' by itself:y' = -2x/2y 
Answer: y' = -x/y 
The given relation is not a implicit solution to the given differential equation.
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