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qwelly [4]
2 years ago
7

Please help me. Hurry! Please explain and make it easy to understand. 50 points!

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
4 0

Answer:

um what you want

me too answr

Step-by-step explanation:

Veronika [31]2 years ago
4 0

Answer:

what but where is the question hehe

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Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2
Basile [38]

The Laplace transform of the given initial-value problem

y' 5y = e^{4t}, y(0) = 2 is  mathematically given as

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is  mathematically given as

&\text { Sol:- } \quad y^{\prime}+s y=e^{4 t}, y(0)=2 \\\\&\text { Taking Laplace transform of (1) } \\\\&\quad L\left[y^{\prime}+5 y\right]=\left[\left[e^{4 t}\right]\right. \\\\&\Rightarrow \quad L\left[y^{\prime}\right]+5 L[y]=\frac{1}{s-4} \\\\&\Rightarrow \quad s y(s)-y(0)+5 y(s)=\frac{1}{s-4} \\\\&\Rightarrow \quad(s+5) y(s)=\frac{1}{s-4}+2 \\\\&\Rightarrow \quad y(s)=\frac{1}{s+5}\left[\frac{1}{s-4}+2\right]=\frac{2 s-7}{(s+5)(s-4)}\end{aligned}

\begin{aligned}&\text { Let } \frac{2 s-7}{(s+5)(s-4)}=\frac{a_{0}}{s-4}+\frac{a_{1}}{s+5} \\&\Rightarrow 2 s-7=a_{0}(s+s)+a_{1}(s-4)\end{aligned}

put $s=-s \Rightarrow a_{1}=\frac{17}{9}$

\begin{aligned}\text { put } s &=4 \Rightarrow a_{0}=\frac{1}{9} \\\Rightarrow \quad y(s) &=\frac{1}{9(s-4)}+\frac{17}{9(s+s)}\end{aligned}

In conclusion, Taking inverse Laplace tranoform

L^{-1}[y(s)]=\frac{1}{9} L^{-1}\left[\frac{1}{s-4}\right]+\frac{17}{9} L^{-1}\left[\frac{1}{s+5}\right]$ \\\\

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

Read more about Laplace tranoform

brainly.com/question/14487937

#SPJ4

6 0
1 year ago
Can someone help me please divide the following and then check by multiplying<br> 37,371\206
SCORPION-xisa [38]

Answer:

37,371 multiplied by 206 is 7,698,426

Step-by-step explanation:

Calculator.

6 0
3 years ago
Read 2 more answers
K, 8х5 and LM - бх 3
ladessa [460]

Answer:

k=40 and -6x3=-12

hope this helps

Step-by-step explanation:

7 0
3 years ago
2
IgorC [24]

Answer:

L= 10 in

W= 7 in

Step-by-step explanation:

Given data

let the widht be x

W= x

L= x+3

P=34 in

We know that

P=2L+2W

34= 2(x+3)+ 2(x)

34= 2x+6+2x

collect like terms

34= 4x+6

34-6= 4x

28= 4x

divide both sides by 4

x= 28/4

x=7

Put x= 7 in

L= x+3

L= 7+3= 10

Hence the width is 7in the length is 10 in

5 0
2 years ago
How do I find the indicated value for this problem?
brilliants [131]

Answer:  just want points tbh

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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