Fall 2017 Math 2150 Final Exam Take 1 Part 1 Section 8 osed book, closed notes. No calculators. Show your work. No loitering, no smoking, walking on the grass, no feeding the animals, no parking, no stopping or standing, no mping, no running, no fishing, no vacancy. All problems weighted equally (1) Use Euler's method to estimate y(7) when y, + V-x and y(1) -3. Use step size 3. (2) Solve the differential equation (4xY + 3z2jdz + (3xY + 6y2)dy 0. 3) Is the differential equation y'"-6z3y" cosas linear? why or why not? 4) Tanks T1 and T2 contain 50 gallons and 100 gallons of salt solutions, respectively. A solution with 2 pounds of salt per gallon is pumped into T1 from an external source at 1 gal/min, and a solution with 3 pounds of salt per gallon is pumped into T2 from an external source at 2 gal/min. The solution from T1 is pumped into T2 at 3 gal/min, and the solution from T2 is pumped into T1 at 4 gal/min. T1 is drained at 2 gal/min and T2 is drained at 1 gal/min. Let Q1(t) and Q2(t) be the number of pounds of salt in T1 and T2, respectively, at time t>0. Derive a system of differential equations for Q1 and Q2. Assume that both mixtures are well stirred. guess" method (a kn
