Mathematics: The rate of change of y with respect to x is proportional to y2. Write a differential equation for the statement. (Use k for the constant of proportionality.)

The rate of change of y with respect to x is proportional

Ответ:

alexisfaithsmith

08.02.2022

Mathematics

$\dfrac{dy}{dx}\ = ky_2$

Step-by-step explanation:

The rate of change of y with respect to x is expressed as shown;

$\dfrac{dy}{dx}$

If the rate of change of y with respect to x is proportional to y2, this is expressed as;

$\dfrac{dy}{dx}\ \alpha \ y_2$

If we remove the proportionality sign, a proportionality constant will be introduced as shown;

$\dfrac{dy}{dx}\ = ky_2$

where k is the constant of proportionality.

Hence the differential equation for the statement is expressed as $\dfrac{dy}{dx}\ = ky_2$

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Ответ:

darkmatter1210

15.03.2021

Mathematics

The surface area is 13630=1/2(4)(height)30=2(height)and from there we can solve. 30/2=15the height of the triangle is 15, which is also the slant heightto check our work, 1/2(4)(15)=304x15=601/2x60=30

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The rate of change of y with respect to x is proportional to y2. Write a differential equation for the statement. (Use k for the constant of proportionality.)

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