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4 years ago

(15 PTS AND BRAINLIEST) 9y=6y+24/2

Mathematics

2 answers:

aliya0001 [1]4 years ago

4 0

Hey there!!

9y = 6y = 24/2

24/2 = 12

Subtract 6y on both sides

3y = 12

Divide 3 on both sides

y = 4

Hope helps!

OlgaM077 [116]4 years ago

3 0

Bruh use this app photomath... Itll tell u the answer to everything

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makkiz [27]

Solution :

Given :

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Let x = independent variable

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If $Q(x) \neq 0$

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If Q(x) = 0

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2y''' + 15y'' + 24y' + 11y= 0

$(2D^3+15D^2+24D+11)y=0$

Auxiliary equation,

$2m^3+15m^2+24m +11 = 0$

-1 | 2 15 24 11

2 13 11 0

∴ $2m^2+13m+11=0$

The roots are

$=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$

$=\frac{-13\pm9}{4}$

$=-5.5, -1$

So, $m_1, m_2, m_3 = -1, -1, -5.5$

Then the general solution is :

$= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$

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