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nikdorinn [45]
3 years ago
15

-7x - 12 = - 7х + 3(-4 - x)

Mathematics
1 answer:
dsp733 years ago
4 0

Answer:

x=0

Step-by-step explanation:

-7x - 12 = - 7x + 3(-4 - x)

Open up the parentheses

-7x - 12 = - 7x -12-3x

-7x cancels out on both sides

-12 =-12-3x

-12 cancels out on both sides

0=-3x\\x=0

I hope this helps!

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o
harina [27]

Answer:

y=3e^{-4t}

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

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Solving for L

L(s^2+5s+4)=3s+3

L=\frac{3s+3}{s^2+5s+4}

L=\frac{3(s+1)}{(s+1)(s+4)}

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Apply the inverse Laplace transform with this formula:

\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}

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7 0
3 years ago
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Answer:

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