20x"(t) + 140x'(t) + 200x(t) = 0 --> initial problem x(t) = (1/12)e^-2t + (1/6)e^-5t --> solution x(0) = .25 m x'(0) = -1 m/s When will it return to equilibrium? t = ?

Q: What is the doubling time for this population? What is the size for the population after 2 years?

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Q: If f(x) = f'(x) = ƒ' (3) = 6x + 7 2x+6' find:

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Q: Solve the equation R'(t) = 200e^0.5t for 0 ≤ t ≤ 10.

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Q: Help The number of mosquitoes in a lake area after an insecticide spraying decreases at a rate of…

A: Given,

Q: P(t)= 500/1+4e^-0.6t What is the doubling time for this population? What is the size of the…

A: The given population is:P(t)=5001+4e-0.6t

Q: Solve y' Y X + 4 ln x + 5 with y(3) = −2

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Q: y’’’+y’-6y=e^2t cost

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Q: y'=y/4x=x/4y3 solve differential

A: The given differential equation is:y′=−4xy​+4y3x​Rewrite the differential equation…

Q: A population of bacteria is growing according to the equation P(t)=1350e^0.11t Estimate when the…

A: Substitute P(t)=2418 into the equation Pt=1350e0.11t and solve for t:…

Q: Solve the initial value problem + 5y = 0, y(ln 4) = 2. dr y = -((e^(x))/5)+2.8

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Q: Given f (1) = -9 e 0.182x find z so that f (x)= -6.1 Number Round answer to the nearest 100th.

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Q: solve and find general solution y' + y/3 = e^(x)y^(4)

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Q: Determine the solution of the IVP y’-2y = 2e^(2x) ; y (0) = 1 a. y = e^(2x)*(2x-1) b. y =…

A: Let's find.

Q: solve the initial value problem: y'' - 5y' + 4y = e^(4x) y(0) = 0 y'(0) = 10/3

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Q: Q3 (a) A polluted pool has an initial concentration of bacteria of 10* part/m³, while the acceptable…

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Q: Solve the initial value problem. (dy)/(dx)+3y-8e^(-2x)=0, quady(0)=10

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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.