a) Using the substitution z = y - 2x +3, solve the following initial value problem y (0) = 0. dy dx = 2 + √y-2x+3, b) So

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A Using The Substitution Z Y 2x 3 Solve The Following Initial Value Problem Y 0 0 Dy Dx 2 Y 2x 3 B So 1 (65.04 KiB) Viewed 27 times

a) Using the substitution z = y - 2x +3, solve the following initial value problem y (0) = 0. dy dx = 2 + √y-2x+3, b) Solve the following Bernoulli equation dy dz +4y= = 3¹/2 1 + e dA A + dt 50 (7 marks) c) Initially 30 g of salt is dissolved in a mixing tank containing 200 l of water. A brine solution of salt with concentration 1 g/l is then pumped into the tank at a rate of 4 l/min. The well-mixed solution is pumped out at the same rate. The amount of salt, A(t) at time t > 0, in the tank can be modelled as (5 marks) 4. i. Find A(t). (5 marks) ii. What is the salt concentration (g/l) of the solution in the mixing tank at t= 5 minutes. (3 marks)