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

Question

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] · Answer 1 · 2022-02-07T02:42:29+03:00

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.