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Mekhanik [1.2K]
3 years ago
13

Solve the nonhomogeneous differential equation y′′+6y′−16y=e5x. Find the most general solution to the associated homogeneous dif

ferential equation. Use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. yc= c1e^(-8x)+c2e^(2x) help (formulas) Using the Method of Undetermined Coefficients, give the form of a particular solution needed to solve this differential equation. Use capital letters A, B, C, etc. for the unknown coefficients, starting with A. yp= Ae^(5x) help (formulas) Find a particular solution to this nonhomogeneous differential equation. yp= 1/39e^(5x) help (formulas) Find the most general solution to the original nonhomogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants. y= c1e^(-8x)+c2e^(2x)+1/39e^(5x) help (formulas) Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0)=−2 and y′(0)=2. y= -17/78e^(-8x)+141/78e^(2x)+1/39e^(5x) help (formulas)
Mathematics
1 answer:
NeTakaya3 years ago
5 0
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STEP 1:
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STEP 2:
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***You could also calculate the average by adding only non-zero results (20,30,120) and then dividing by 3 (the quantity of only non-zero numbers).


ANSWER: The average number of minutes studied per day is 24.3.

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Ashley would have to pay an additional $608.52 in interest when the length of the loan changes from 3 years to 5 years.

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Although the problem gives us the initial amount of the balance ($4000) and the interest rate (13%), we are really only concerned with the total amount Ashley will make in payments in three years versus five years.  If she pays $134.78 for three years, that is 36 months, or $134.78 times 36 which is equal to $4852.08.  However, if she decides to take longer to pay it and instead pays $91.01 for five years, or 60 months, then her total amount paid would be $5460.60.  To find the difference between these two, simply subtract $5460.60-$4852.08 to get $608.52.  

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Answer:

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In figure, what is the value of y?
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First, find the value of x.  Note that the angles x, 0.5x and 3x sum up to 4.5x, and that this sum has the value 180 degrees.  Solving this equation for x, we get x = 40 degrees.

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4 years ago
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