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2 years ago

Help I will give brainless tell me the numbers in order

Mathematics

1 answer:

Blababa [14]2 years ago

3 0

-2: y = -2-2 = -4
-1: y= -1 - 2 = -3
0: y = 0 - 2 = -2
1: y = 1 - 2 = -1
2: y = 2 - 2 = 0

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

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The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

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$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

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The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

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Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

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