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

Shafts are machine elements that are used to a) carry axial loads b) direct shear loads c) transmit power d) rotate at constant speed e) none of the above circular and square shafts subjected to the same torque under the same circum behave a) the same way b) almost the same way

Ahot wire operates at a temperature of 200°c while the air temperature is 20°c. the hot wire element is a tungsten wire of 5 um diameter and 2 mm in length. plot using excel current, heat transfer and heat generated by the wire for air velocity varying from 1-10 m/s in steps of lm/s? matlab the sensor voltage output, resistance, or assume nu 0.989 re033pr13 take air properties at tr (200°c20°c)/2 = 110°c properties of tungsten: c 0.13 kj/kg. k 3 p 19250 kg/m k (thermal conductivity) = 174 w/m. k

The characteristic roots of a dynamic system are: 1.7920 1.8160 i, -1.7920 1.8160 i, -0.4160 what is the order of this system? what are the settling time and damping ratio of the system?