The value of a machine DECREASES at a rate proportional to the value of the machine, thus dVdt=−kVdVdt=-kV. The general solution to the differential equation is V=C⋅e−k⋅tV=C⋅e-k⋅t, where C is the initial cost of the machine.If the value of the machine is 6% of the origianl cost after 25 years,A) What is the value of k (enter as a positive value) in the differential equation?    B)How many years after it is purchased will the value be half of the origianl cost?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.