3 years ago

4x-2y=-4 what is the answer

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

Rewrite=2x-y+2=0 if not sorry hope it helps

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(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

3 years ago

1. Find the ratio of the width to the length of the rectangular swimming pool sketched below.

evablogger [386]

Ummm abcdefgh d maybe

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3 years ago

Sole this sole for y i will give 20$ to whoever solves it right and with proper explanation

VikaD [51]

Answer:

$28 + 28 + 17 + 17$

that should give you the answer but it's really blurry so I cant see it

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3 years ago

Please I need help asap

Scilla [17]

Answer:

Step-by-step explanation:

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Find the Missing length

Anarel [89]

For which one do you need help with?

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