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Separation of Variables: Let v(t) be the velocity, in knots per hour, of a vessel at...

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Basic Math

Separation of Variables:

Let v(t) be the velocity, in knots per hour, of a vessel at timet, t = 0. After the second engine is turned on, its velocitysatisfies the differential equation ??/??=3?+22, with initialcondition v (0) = 2.
First use separation of variables to find an expression for v interms of t. Secondly, f the vessel cruising speed is 25 knots perhour, how long will the vessel take to reach this speed?

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