All categories

3 years ago

The train station runs to fast and gains 6 minutes every 5 days

Mathematics

1 answer:

sergiy2304 [10]3 years ago

3 0

Answer:

zendaya seems so if see every so it so if see egg

You might be interested in

Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

6 0

1 year ago

Ali and his father went on a trip to Jazan. Ali drove 52 miles less than his

kenny6666 [7]

Answer:

Step-by-step explanation:

divide 292 by 2

subtract 56 to get Ali's and add 56 to his Dad's

I could be wrong it's 6 am

7 0

3 years ago

What is the slope of the line passing through the points (−3, 4) and (2, −1) ?

Alex73 [517]

d is is the defenit answer

4 0

3 years ago

Read 2 more answers

Which of the given functions could this graph represent?

hammer [34]

Answer:

The answer is B. f(x) = (x − 1)(x − 2)(x + 1)(x + 2)

3 0

3 years ago

Read 2 more answers

-6+ (-20) + (-40) + 3d

cupoosta [38]

Answer:

-3(22-d) ?

Step-by-step explanation:

I hope this is right please let me know

8 0

3 years ago