What is 2+2 ? im felling nice

Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Answer:

4....................

Step-by-step explanation:

Montano1993 [528]3 years ago

5 0

Answer:

Step-by-step explanation:

if you had 2 cake mixes, and you had 2 more, you add them together and create 4 cake mixes and get a bigger cake. lol

Thanks so much!! Have a great rest of your day! ^^

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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.

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

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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:

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Step-by-step explanation: