2. The governing differential equation for the motion of a car can be written as dr - kæ + Psin(wt) %3D -C- dt² ´dt with boundary conditions x(0) = 0 and x(2) = 3. Suppose mass of the car, spring constant, forcing coefficient, forcing frequency, damping coefficient, c=1× 107. %3D m = 1.5 x 10€ k = 2.312 x 108 P = 2.5 × 107 w = 0.4 (a) five equal subintervals. Write the discretization form for the above second order ODE by dividing into

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. The governing differential equation for the motion of a car can be written as
dr
m
dt2
= -C-
dt
kæ + Psin(wt)
with boundary conditions x(0) = 0 and x(2) = 3. Suppose
mass of the car,
spring constant,
forcing coefficient,
forcing frequency,
damping coefficient, c=1 x 107.
т %3D 1.5 х 106
k = 2.312 x 10S
P = 2.5 x 107
w = 0.4
(a)
five equal subintervals.
Write the discretization form for the above second order ODE by dividing into
Transcribed Image Text:2. The governing differential equation for the motion of a car can be written as dr m dt2 = -C- dt kæ + Psin(wt) with boundary conditions x(0) = 0 and x(2) = 3. Suppose mass of the car, spring constant, forcing coefficient, forcing frequency, damping coefficient, c=1 x 107. т %3D 1.5 х 106 k = 2.312 x 10S P = 2.5 x 107 w = 0.4 (a) five equal subintervals. Write the discretization form for the above second order ODE by dividing into
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