3 years ago

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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3 years ago

What is the name of the quadrilateral

AURORKA [14]

Answer: where is the picture?

Step-by-step explanation:

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3 years ago

15 Points Help Math question

gizmo_the_mogwai [7]

11.11111111

you can round your answer

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