Questions from General Calculus

Q: Match the differential equation with its direction field (labeled I–

Match the differential equation with its direction field (labeled I–IV). Give reasons for your answer. y' = x + y - 1

Q: For which of the following series is the Ratio Test inconclusive (

For which of the following series is the Ratio Test inconclusive (that is, it fails to give a definite answer)?

Q: Match the differential equation with its direction field (labeled I–

Match the differential equation with its direction field (labeled I–IV). Give reasons for your answer. y' = sin x sin y

Q: Use the direction field labeled II (above) to sketch the

Use the direction field labeled II (above) to sketch the graphs of the solutions that satisfy the given initial conditions.

Q: Use the direction field labeled IV (above) to sketch the

Use the direction field labeled IV (above) to sketch the graphs of the solutions that satisfy the given initial conditions.

Q: Sketch a direction field for the differential equation. Then use it

Sketch a direction field for the differential equation. Then use it to sketch three solution curves. y' = 1/2 y

Q: Solve the differential equation. dy/dx = xy2

Solve the differential equation. dy/dx = xy2

Q: Solve the differential equation. dz/dx + et+

Solve the differential equation. dz/dx + et+z = 0

Q: Find the solution of the differential equation that satisfies the given initial

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

Q: Find the solution of the differential equation that satisfies the given initial

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