2. Consider a spring-mass system where x describes the position of a mass at any time t. Which of the following differential equations describes a forced, damped oscillation? A. 10. + 5.5x = 12cos(15t) dt2 B. 2.5x" + 2.5x = 4.5sin(t) de + dt -7sin(3x) C.3 dt2 D. 2x" + 4.5x' + 2x = 2.5cos(5t)

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Q: 1. Which of the following is an ordinary. linear differential equation of order 2?* da d'r + k?at =…

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Q: y(3) – 3y" + y' – 3y = e3t + 1

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Q: Vhich of the following is a third degree partial differential equation? dw )4 ду A) dz B Əp dr? dz 3…

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Q: 2. For the differential equation d`y dy -8y 8e, find the solution 4. 4 - dt dt a) Using the Method…

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Q: in the form of differential equation shown below; where the initial conditions are z d²y dy + 10 dt…

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Q: 1) Match the following slope field with the appropriate differential equation. dy %3D (x+2) (y + 4)…

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Q: A spring-mass-damper system has the following equilibrium equation: d²y +3+ 40y = 0 , t>0 dt2 dt dy…

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Q: show that y=a+Ce^(k(1-b)t) is a solution of the differential equation  y=a+b(y-a)+(1/k)(dy/dt)…

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A: Given differential equation is:  dydt = 12(y2-1)                          and y(0)=4

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Q: x' = 10x - 8 y %3D y' = 7x - 5 y %3D x(0) = 12 %3D У(0) %3D 11 Note. dx x' = dt dy y' = dt

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Q: The differential equation of a spring/mass system, vertically oriented and with no external force…

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A: 3. We have  y˙=01-12y+04ex       y(0)=3-2x˙y˙=01-12xy+04exx˙=yy˙=-x+2y+4exlet  L(x)=F(s)…

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Q: Q1 A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ft is…

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Q: Which of the following is a third degree partial differential equation? 2 dw 4 A Əx3 dy В (y")³ –…

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