A) Verify that y is a solution of the ODE. B) Determine from y the particular solution of the IVP. C) Graph the solution of the IVP.1. y' + 4y = 1.4, y = ce-4x + 0.35, y(0) = 22. y' + 5xy = 0, y = ce-2.57, y(0) = 1 3. y' = y+e", y = (x + c)e", y(O) = 0.5 4. yy' = 4x, y2 - 4x² = c(y>0), y(t) = 4 5. y' = y = y2, y = 1/1 + ce-x, y(0) = 0.25 6. y'tan x = 2y—8, y = csin2 x + 4, y(pi/2) = 0

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false

Abrake has a normal braking torque of 2.8 kip in and heat-dissipating cast-iron surfaces whose mass is 40 lbm. suppose a load is brought to rest in 8.0 s from an initial angular speed of 1600 rev/min using the normal braking torque; estimate the temperature rise of the heat dissipating surfaces.

Athin walled concentric tube exchanger is used to cool engine oil from 160°c to 60°c with water that is available at 25°c acting as a coolant. the oil and water flow rates are each at 2 kg/s, and the diameter of the inner tube is 0.5 m and the corresponding value of the overall heat transfer coefficient is 250 w/m2. oc. how long must the heat exchanger be to accomplish the desired cooling? cpwater=4.187 kj/kg-candcpengine el=2.035 kj/kg·°c, oil . 120]