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elena-14-01-66 [18.8K]
3 years ago
12

If n = 37 cm and l = 12 cm, what is the length of m?

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Isn't there suppose to be an equation or something that you have to solve?

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If dy/dx=2xy^2 and y(-1)=2, find y(2)
Amiraneli [1.4K]
This is a separable first order differential equation as an initial value problem.

\dfrac{dy}{dx} =2xy^2

Divide both sides by y².

\dfrac{1}{y^2}\dfrac{dy}{dx}=2x

Multiply both sides by dx.

\dfrac{1}{y^2} dy=2x \times dx

Integrate both sides.

\int \dfrac{1}{y^2} dy= \int 2x \times dx

- \dfrac{1}{y}=x^2+C

Multiply both sides by -1

\dfrac{1}{y}=-x^2+C_1
(where C_1=-C)

Now, isolate y on one side of the equation.

y=\dfrac{1}{-x^2+C_1}

That's the general solution. Now, plug in the value x=-1 and y=2.

2=\dfrac{1}{C_1-1}

C_1=3/2

The final solution is the following:

y=\dfrac{1}{-x^2+3/2}

I hope this helps! If you need any clarifications, feel free to comment! :)
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Step-by-step explanation:

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