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love history [14]
3 years ago
5

Y''-4y=cosx find general solution.

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

Step-by-step explanation:

y''-4y=cosx

The auxialary equation and solutions are as follows:

m^2-4=0\\m=2,-2

General solution is

y=Ae^{2x} +Be^{-2x}

Right side =cosx

Particular Integral

= \frac{cosx}{-1-4} =\frac{-cosx}{5}

Hence full solution is

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What is f (0) for the function f (a) = 2a + 3
vovangra [49]
F(0)= 2* 0 +3

=0+3
f(0)=3
3 0
3 years ago
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PLZ HELP ASAP <br> Find f(x) if it is known that f(x−3)=0.2x−0.6.
iren [92.7K]

Answer:

f(x) = 0.2x

Step-by-step explanation:

hello :

let : f(x) = ax+b    calculate a  and b

f(x-3) =a(x-3)+b = ax+b-3a.....(*)

given    :  f(x-3) = 0.2x-0.6...(**)

by (*) and(**) :  a= 0.2    and   b-3a = - 0.6

b-3(0.2) = - 0.6

so : b=0

conclusion : f(x) = 0.2x

4 0
3 years ago
I NEED HELP ASAP PLEASE!!!
Artemon [7]

Answer:

-3x+1y=-1

or

3x-1y=1

or

by multiplying with 1/3 the first equation we get

-1x+1/3y=-1/3

or from second equation

1x-1/3y=1/3

Step-by-step explanation:

y-y1=m(x-x1)

y1=-7

x1=-2

m=3

so

y-(-7)=3(x-(-2))

y+7=3(x+2)

y+7=3x+6

-3x+y=6-7

-3x+ 1y= -1

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2 years ago
O is:<br> rational<br> irrational
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There’s no picture, please post one
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Answer:

hello the correct answer is y=30x+20

Step-by-step explanation:

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2 years ago
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