An object weighting 16 pounds is attached to a string, thereby stretching the spring 12 inches. The object is then displaced an additional 6 inches and released at t = 0. The medium exerts a resistance of 8 pounds when the object has a velocity of 2 feet per second. Find the object's displacement, y(t), in feet after t seconds.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Hi, can I get some help with this differential equations problem?

  • An object weighting 16 pounds is attached to a string, thereby stretching the spring 12 inches.
  • The object is then displaced an additional 6 inches and released at t = 0.
  • The medium exerts a resistance of 8 pounds when the object has a velocity of 2 feet per second.
  • Find the object's displacement, y(t), in feet after t seconds.
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