Africtionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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*) Find y as a function of x if
y" 11y" + 18y' = 32e*,
y(0) = 29, y'(0) = 12, y"(0) = 22.
y(x) =
Transcribed Image Text:*) Find y as a function of x if y" 11y" + 18y' = 32e*, y(0) = 29, y'(0) = 12, y"(0) = 22. y(x) =
(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters
beyond its natural length by a force of 60 newtons. If the spring begins at its
equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the
position of the mass after t seconds.
meters
Transcribed Image Text:(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. meters
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in b part, system gives an error that t is not defined for the frictionless spring question.

-
) Find the general solution to y(4) — 5y"' + 6y" = 0. In your answer,
use C₁, C2, C3 and c4 to denote arbitrary constants and x the independent
variable. Enter c₁ as c1, c₂ as c2, etc.
help (equations)
Transcribed Image Text:- ) Find the general solution to y(4) — 5y"' + 6y" = 0. In your answer, use C₁, C2, C3 and c4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc. help (equations)
(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters
beyond its natural length by a force of 60 newtons. If the spring begins at its
equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the
position of the mass after t seconds.
meters
Transcribed Image Text:(*. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length by a force of 60 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. meters
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