A mining expert estimates that the production growth rate of copper overtime, or ,is given by dt' dy -3t?y + 6t2 dt where, y is copper production and t is unit of (continuous) time. The mining expert would like to determine the level of copper production overtime (y(t)). Given the above information, answer the following questions:

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter6: Vector Spaces
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Using variable coefficient and variable term approach, determine the general solution of copper production as a function of time (y(t))!

A mining expert estimates that the production growth rate of copper overtime, or
dy
/dt , is given by
dy
= -3t?y + 6t?
dt
where, y is copper production and t is unit of (continuous) time. The mining expert would like to
determine the level of copper production overtime (y(t)). Given the above information, answer the
following questions:
Transcribed Image Text:A mining expert estimates that the production growth rate of copper overtime, or dy /dt , is given by dy = -3t?y + 6t? dt where, y is copper production and t is unit of (continuous) time. The mining expert would like to determine the level of copper production overtime (y(t)). Given the above information, answer the following questions:
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