Yr2 Modelling with Differential Equations

Question 1

Step 1

Answer 1

Litres after t min = Initial + (Rate Out - Rate In)

Question 2

Step 2

Answer 2

Let x grams be the amount of … after t min

Question 3

Step 3

Answer 3

Conc = x/Litres after t min

Question 4

Step 4

Answer 4

Rate of … In = Rate … In x Amount of … per litre = … per minute

Question 5

Step 5

Answer 5

Rate of … Out = Rate Out x Conc

Question 6

Step 6

Answer 6

Hence, dx/dt = Rate In – Rate Out