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Fofino [41]
3 years ago
11

Does anyone know how to do this?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:i think you have to equal them to each other

Step-by-step explanation:

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If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
70 POINTS! PLEASE HELP! Explain the difference between the following equation formats: Slope-Intercept, Point-Slope and Standard
katrin2010 [14]

Answer and Step-by-step explanation:

1.  slope intercept

2.  point-slope form

3.  standard

Explanation:

1.   A <u>slope intercept form</u> equation is when it's set up as y = m x + b

m = slope  

b = y-intercept

2.   <u>A point-slope form</u> is when a line passes through a point

and the equation is set up as  y −b = m ( x−a)

m = slope

(a, b) A point that the line passes through

3. <u>standard lope form</u> is when the equation is set up as

Ax + By = C

7 0
4 years ago
Using that formula
d1i1m1o1n [39]

20% x 50 =(20 / 100) x 50 = (20 x 50) / 100 = 1000 / 100 = 10

answer is 10

8 0
3 years ago
Read 2 more answers
Deviance is best defined as
Licemer1 [7]

Answer:

I don't think devlance is a real word but maybe u r trying to sat deviance The answer might be B

Step-by-step explanation:

4 0
3 years ago
Some know hit me asp❗️
nekit [7.7K]
10 x 15 divided by 4
6 0
3 years ago
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