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lutik1710 [3]
3 years ago
11

Number 1,2,3 and please show work xx

Mathematics
1 answer:
malfutka [58]3 years ago
5 0
I'd help if I could, but unfortunately, this is the one area of math that I suck at.
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Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3
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Answer:

1) L(y)=\frac{2}{s^{3}}

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Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of t^n is given by,

L(t^n)=\frac{n!}{s^{n+1}}

1) y=t^2

Laplace of y,

L(y)=L(t^2) here n=2

L(y)=\frac{2!}{s^{2+1}}

L(y)=\frac{2}{s^{3}}

2) y=t^3

Laplace of y,

L(y)=L(t^3) here n=3

L(y)=\frac{3!}{s^{3+1}}

L(y)=\frac{3\times 2}{s^{4}}

L(y)=\frac{6}{s^{4}}

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