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The rate of depreciation dv/dt of a machine is inversely proportional to the square of t+ 1, where Vis the value of the machine t years after it was purchased. If the initial value of the machine was $500,000, and its value decreased $100,000 in the first year, estimate its value after 4 years.

The rate of depreciation dv/dt of a machine is inversely proportional to the square of t+ 1, where Vis the value of the machine t years after it was purchased. If the initial value of the machine was $500,000, and its value decreased $100,000 in the first year, estimate its value after 4 years.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. The rate of depreciation dv/dt of a machine is inversely proportional to the square of t+ 1, where Vis the value of the machine t years after it was purchased. If the initial value of the machine was $500,000, and its value decreased $100,000 in the first year, estimate its value after 4 years.
Transcribed Image Text:2. The rate of depreciation dv/dt of a machine is inversely proportional to the square of t+ 1, where Vis the value of the machine t years after it was purchased. If the initial value of the machine was $500,000, and its value decreased $100,000 in the first year, estimate its value after 4 years.
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