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

Consider a 1.2 meter high and 2 meter wide glass window whose thickness is 6 mm and thermal conductivity is 0.78 w/m °c. the room temperature is maintained at 24 °c, while the outdoor temperature is -5 °c. the convective heat transfer coefficients on the inner and outer surfaces of the window are 10 w/m2 °c and 25 w/m2 °c respectively. (a) draw the thermal resistance network, etermine the steady rate of heat transfer t e glass window (c) determine the temperature of the inner surface of the window