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3 years ago

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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Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j

MA_775_DIABLO [31]

Answer:

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

$x+y+z=37$ -----> equation A

$x=y+4$ -----> $y=x-4$ ------> equation B

$z=x+2$ ------> equation C

Substitute equation C and equation B in equation A and solve for x

$x+(x-4)+(x+2)=37$

$3x=37+2$

$3x=39$

$x=13\ mi$

Find the value of y

$y=13-4=9\ mi$

Find the value of z

$z=13+2=15\ mi$

therefore

Jada walked $13\ miles$

Elena walked $9\ miles$

Lin walked $15\ miles$

3 0

3 years ago

Please help me. What is the y intercept of the graph shown below?

natta225 [31]

Answer:

(0,2)

Step-by-step explanation:

the point where Oy intercepts the graph has x=0 and y= f(0)

so this is (0,2)

7 0

3 years ago

Factor out the monomial: 18x^2 + 2

Trava [24]

Answer:

Step-by-step explanation:

18x² + 2 = 2 * 9x² + 2 *1

= 2*(9x² + 1)

4 0

3 years ago

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1

Kobotan [32]

Answer:

-4

Step-by-step explanation:

Parallel lines have the same slope

-4

6 0

3 years ago

Read 2 more answers

For question 3, use the Pythagorean Theorem.

Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0

3 years ago