Ask question

Ask question

All categories

3 years ago

6

Y =-5 graphing in lines

1 answer:

Sati [7]3 years ago

5 0

This is the line graph for Y=-5
hope this helps!

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

Find the value of x.

Zolol [24]

Answer:

34

Step-by-step explanation:

8 0

3 years ago

Select the correct answer.

Luba_88 [7]

I think it Is B.....

7 0

2 years ago

Mrs.scott has 30 pairs of shoes.Out of the 30 pairs 24 of them are black.what percent of shoes are black

pychu [463]

Do 24/30, which is 0.8. Convert this to a percentage

==============> 80%

4 0

3 years ago

Multiply 4x(-3x - 5)

Scilla [17]

Using the distributive property the product is -12x-20. To distribute you take the numbers and or variables outside of the paranthesis and multiply it by each one in the parenthesis such that 4x is multiplied by -3x getting -12x and multiplying 4x by -5 and the product is -20x and all together the answer is -12x-20

6 0

3 years ago

Read 2 more answers