Solve: y""-6y"+3y+10y = 560e y(0) = 2, y'(0) = 15, y"(0) = −1 Hint: (r+1) is a factor of the characteristic equation. y(t) =
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A: Step 1: Step 2: Step 3: Step 4:
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Q: Calculate the mean of the following values: 125.474 125.468 125.481 125.476 125.472 125.473 125.483…
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A: 0.2588190451
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- Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.Determine r′(8) to the nearest tenth when r(x)=90x5 / 2x (Do not include "r′(8)=" in your answer.)
- When you substitute y''p and yp into the equation, where does the: 4Ccos(2x) and -4Dsin(2x) come from? While you have 10 different trig functions from the substitution, there should only have been 8 trig finctions from the substitution.... y'' = -9Asin(3x) - 9Bcos(3x) - 4Csin(2x) - 4Dcos(2x) --> that's 4 and 4y = 4(Asin(3x) + Bcos(3x) +Csin(2x) + Dcos(2x)) --> that's the other 4. Where does the 4Ccos(2x) and -4Dsin(2x) come from in the multiplication?Solve the EDLNH of order 3 and constant coefficients. Use the method of undetermined coefficientsutilize the the method of undetermined coefficients to solve the steps of the equation bellow y''-4y'-12y=2t^3-t+5 a.complimentary b. particular
- Determine the solutions of:y^n + 4y = 0y(-π) = y(π), y´(-π) = y´(π)b) y = (3x-1)e-x²Suppose you are climbing a hill whose shape is given by the equation z = 1,300 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (80, 80, 1204). The positive x-axis points east and the positive y-axis points north.
- Use the method of undetermined coefficients to determine the form of a particular solution for the given equation. y'"' + 10y" – 11y=xe* + 4x What is the form of the particular solution with undetermined coefficients? Yp(x) = ] (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)4/7 X • (+) - where: (205) = yt The expression r = 20/7 and t = |Determine q′(4) when q(x)=70(5x)/ x4 (Do not include "q′(4)=" in your answer.) Round the answer to the nearest tenth.
