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A=5, T=6.5, H=0.1 A tank contains 100 gallons of brine whose salt concentration is A pounds per gallon. Three gallons of fresh water flow into

A=5, T=6.5, H=0.1

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A tank contains 100 gallons of brine whose salt concentration is A pounds per gallon. Three gallons of fresh water flow into the tank per minute and 5 gallons of the mixture flow out per minute. If x= number of pounds of salt in the solution at any time t then x can be determined from the differential equation: dtdx=rateinrateout (b) Find the amount of salt in the tank after T minutes using Euler's Method and Modified Euler's Method with h=H min. (c) Find the amount of salt in the tank after 5 minutes using Runge-Kutta method (d) Determine the exact answer using calculus and calculate the percent error for all three methods

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