$1 + 3:22 + 2:33 = 0

321 + 11952 + 82:4 = —10

~‘22:} — 105172 + 913 —- 133134 = 25

632 -— 212:3 +19cc4 = —41

You may use RREF.

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the indicated initial conditions: yn+2 + 7yn+1 + 1231'; = 0, 3/0 = 2. 91 = 1- “Problem @A tank contains 50 lbs of salt dissolved in 400 gallons of water. Brine that contains 4 5 lbs /

of salt per gallon of water starts entering the tank at time t = 0 at the rate of 5 gal/ min. The mixture leaves the tank at the lower rate of 3 gal/ min. Find an expression for the amount of salt in the tank

at time t. VProblem® Consider the autonoyzﬁs differential equation y’ = (2 + y)(8 - y)- (a) Determine the equilibrium solutions and also determine which equilibrium solution is stable. Jus-

tify your answer by sketching the direction ﬁeld for the differential equation. (1)) Solve the initial value problem dy/ dt = (2 + y)(8 - y). 11(0) = 10- min apt 111388 system with an object weighing 54 “39- T ”5mm has 9‘

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