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guapka [62]
3 years ago
5

Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9

x dx=0 CC, a constant of integration
Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy  = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

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Answer:

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Step-by-step explanation:

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Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

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To find:

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Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

Sum of all data divides by amount.

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Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

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From 59,60,70,77,89,95, since 70 and 77 are in middle:

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