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Solve the differential equation. {image}

1. 2. 3. 4. 5. 6. 7. 8. Solve the differential equation. {image}. {image} {image} {image} {image} {image} {image} {image} {image}. 1. 2. 3. 4. 5. 6. 7. 8. Find the solution of the differential equation {image} that satisfies the initial condition u(0) = 6. {image}

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Solve the differential equation. {image}

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  1. 1. 2. 3. 4. 5. 6. 7. 8. Solve the differential equation. {image} • {image} • {image} • {image} • {image} • {image} • {image} • {image} • {image}

  2. 1. 2. 3. 4. 5. 6. 7. 8. Find the solution of the differential equation {image} that satisfies the initial condition u(0) = 6. • {image} • {image} • {image} • {image} • {image} • {image} • {image} • {image}

  3. 1. 2. 3. 4. 5. 6. 7. 8. Solve the initial-value problem: {image} y(0) = {image} . • {image} • {image} • {image} • {image} • {image} • {image} • {image} • {image}

  4. 1. 2. 3. 4. 5. 6. 7. 8. Find the orthogonal trajectories of the family of curves. {image} • {image} • {image} • {image} • {image} • {image} • {image} • {image} • {image}

  5. 1. 2. 3. 4. 5. 6. Let y(t) and V(t) be the height and volume of water in a tank at time t. If water leaks through a hole with area a at the bottom of the tank, then Torricelli's Law says that {image} where g is the acceleration due to gravity. Find the height of the water at time t assuming the tank is full at time t = 0. Suppose the tank is cylindrical with height 5 ft and radius 2 ft, the hole is circular with radius 5 in and {image} . • {image} • {image} • {image} • {image} • {image} • {image}

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