Solve the following IVP: (7et '+ 9y = {o if 0 5 y'(0) = -1. %3D y(0) = 0, Note: Write your final answer in terms of UNIT STEP FUNCTION and your six constants. DON’T SOLVE FOR THE CONSTANTS.

Q: y' + 18y" + 81y' 0. =

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Q: 4k-km/m=x

A: Given equation is 4k-kmm=x

Q: Solve ry + 5 y = 10a for y(1) = 2

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Q: Solve for m. D=5/4(m-33)

A: The given equation is

Q: Solve for t: 400(1.33)^t = 38,420  t = ??

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Q: A mouse on a tightrope is moving such that its position relative to some fixed point is given by…

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Q: Solve with steps. 1. (x+4)^2=36

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: Solve for x: 1/(x+2)-(1/x)>2.

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Q: 11. Solve for x: 85 = 323x %3D

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Q: Solve 2logs(Vx)- log;(6x– 1)=0.

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Q: he concentration, C , of a certain drug in the bloodstream, t hours after injection, is given by the…

A: Given that the concentration, C , of a certain drug in the bloodstream, t hours after injection, is…

Q: (5/4)=((y+2)/(6)) solve for y

A: Consider the given equation:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: We have given that,  hours of TV watched per day (x) and the number of situps a person can do (ŷ)…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.