MATH 238 Study Guide - Quiz Guide: Integrating Factor, Product Rule
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A 6. 5-volt battery is connected to a series in which the inductance is 0. 50 henry and the resistance is 10 ohms. Determine the current after 1 second if the initial current is 0. Round to 2 dec. use the model: l + ri = e (t) L + ri = e (t) (cid:2) . 5 + (10) i = 6. 5 (cid:2) + 20i = 13. Multiply both sides by the integrating factor u(t) = 20 ( 20 ) + (20 20 ) = 1320 (cid:2) (20i)" =13 20. Apply the initial condition and solve for c. So the current is i(t) = (cid:2) i(1) = 13 (cid:2) 0. 649999999 = 0. 65: a 100 gallon tank is filled with a salt solution containing 10 lbs of salt. Pure water is pumped in at a rate of 5 gallons per minute and pumped out at the same rate.
