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riadik2000 [5.3K]
3 years ago
15

I need help with this math

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0

15/15 or 1 is your answer.


Georgia [21]3 years ago
8 0
15/15 or 1 is your answer
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A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
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y' = \frac{dy}{dx}

seperable differential equations will have the form
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what you do from here is isolate all the y terms on one side and all the X terms on the other
\frac{dy}{G(y)} = F(x) dx
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
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