Question

LINEARIZE PLEASE m.\frac{d^2y}{dt^2} = f(y, i) - mg m.\frac{d^2y}{dt^2} = \frac{(\pi R^2)\mu_0(Ni)^2}{2y^2} - mg g = 9.8m/s^2 R = 0.03m\quad\mu_0 = 4\pi \cdot 10^{-7} N = 500 y = distance in meters i = current m = 1.5kg

          LINEARIZE
PLEASE
m.\frac{d^2y}{dt^2} = f(y, i) - mg
m.\frac{d^2y}{dt^2} = \frac{(\pi R^2)\mu_0(Ni)^2}{2y^2} - mg
g = 9.8m/s^2
R = 0.03m\quad\mu_0 = 4\pi \cdot 10^{-7}
N = 500
y = distance
in meters
i = current
m = 1.5kg

LINEARIZE
PLEASE
m.(d^2y)/(dt^2) = f(y, i) - mg
m.(d^2y)/(dt^2) = ((πR^2)μ0(Ni)^2)/(2y^2) - mg
g = 9.8m/s^2
R = 0.03m μ0 = 4π·10^-7
N = 500
y = distance
in meters
i = current
m = 1.5kg

Added by Dean P.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Maitreya E

Step 1

Step 1: Write down the given second-order differential equation. Show more…

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Linearize 2nd order differential equation to obtain an answer of type: y" = ay + bi (preferably). g = 9.8 m/s^2, b = 1 N, N = 500, y = distance in meters, I = mass in kg, R = acceleration in m/s^2, M = force in N, i = imaginary unit, c = constant, w = angular frequency, e = Euler's number, K = constant. Please help.