Early one morning it began to snow at a constant rate. At 7:00 A.M. a snowplow...

 

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Early one morning it began to snow at a constant rate. At 7:00 A.M. a snowplow started to clear a road. By 8:00 A.M. it had traveled two miles but it took two more hours to go an additional two miles. What time did it start to snow? Recall the DE for the motion of the snowplow dx k dt 1 in which k is a constant and is time since snow started. Let t=t, be the time when the plow started and x(1) the displacement of the plow at 121. The DE general solution is x(t)=kLnt +C with initial condition x(t) = 0 and boundary conditions x(+1)=2, x(+3) = 4. a, Obtain the value of the constant of integration, C. b. Insert C to obtain the particular solution. C= c. Apply the boundary conditions (BCs) and solve problem. Snow began at Early one morning it began to snow at a constant rate. At 7:00 A.M. a snowplow started to clear a road. By 8:00 A.M. it had traveled two miles but it took two more hours to go an additional two miles. What time did it start to snow? Recall the DE for the motion of the snowplow dx k dt 1 in which k is a constant and is time since snow started. Let t=t, be the time when the plow started and x(1) the displacement of the plow at 121. The DE general solution is x(t)=kLnt +C with initial condition x(t) = 0 and boundary conditions x(+1)=2, x(+3) = 4. a, Obtain the value of the constant of integration, C. b. Insert C to obtain the particular solution. C= c. Apply the boundary conditions (BCs) and solve problem. Snow began at

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To solve the problem lets use the given information and the differential equation for the motion of ... View the full answer