Exam 6: Section 3: Differential Equations

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A calf that weighs 80 pounds at birth gains weight at the rate A calf that weighs 80 pounds at birth gains weight at the rate   where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model   ? where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model A calf that weighs 80 pounds at birth gains weight at the rate   where w is weight in pounds and t is time in years. What is the maximum weight of the animal if one uses the model   ? ?

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A

Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.    Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.

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Find the general solution of the differential equation Find the general solution of the differential equation   . .

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Find the particular solution of the differential equation Find the particular solution of the differential equation   that satisfies the initial condition   . that satisfies the initial condition Find the particular solution of the differential equation   that satisfies the initial condition   . .

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A calf that weighs 75 pounds at birth gains weight at the rate A calf that weighs 75 pounds at birth gains weight at the rate   where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model   . Round your answer to two decimal places. where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model A calf that weighs 75 pounds at birth gains weight at the rate   where w is weight in pounds and t is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model   . Round your answer to two decimal places. . Round your answer to two decimal places.

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Solve the homogeneous differential equation Solve the homogeneous differential equation   . .

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Find an equation of the graph that passes through the point (7, 3) and has the slope Find an equation of the graph that passes through the point (7, 3) and has the slope   . .

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A calf that weighs 70 pounds at birth gains weight at the rate A calf that weighs 70 pounds at birth gains weight at the rate   where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for  where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for A calf that weighs 70 pounds at birth gains weight at the rate   where w is weight in pounds and t is time in years. Use a computer algebra system to solve the differential equation for

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Determine whether the function Determine whether the function   is homogeneous and determine its degree if it is. is homogeneous and determine its degree if it is.

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Find the orthogonal trajectories of the family Find the orthogonal trajectories of the family   . .

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Find the orthogonal trajectories of the family Find the orthogonal trajectories of the family   . .

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Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.    Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.

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