The Laplace of the given equation is 
.
According to the statement
we have given that the equation and we have to solve this problem with the help of the Laplace transform.
So, According to the statement
the given equation is
y'' − 4y' + 4y = t^3e^2t, y(0) = 0, y'(0) = 0
And the Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential equations.
Firstly fill the value of the Laplace of the second order derivative and put x = 0 in the equation
And same it with the first order of the derivative.
And then the Laplace of the equation become
So, The Laplace of the given equation is
Learn more about Laplace transform here
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Answer:
Percentage increases and decreases, are found by setting the problem up proportionally.
You are trying to find what percentage of 17.37 is 8.30 first.
so What %/100 = 8.30/17.37
Now define a variable:
Let x = What%
x/100 = 8.30/17.37
17.37x = 830
x = 830/17.37
x ≈ 47.78
8.30 is approximately 47.78% of 17.37, so the percentage decrease is 100% - 47.78% = 52.22%
The percentage decrease is approximately 52.22%
Answer:
thank you for the points.
Honestly bro i'm not sure i think it's because y=mx+b
Answer:
2) D. y = 1,400 + 400m
Step-by-step explanation:
she starts the first month with the initial amount of 1400. this 1400 doesn't repeat monthly, so it isn't multiplied to anything. the 400m represents the 400 being added every month.
