Draw the direction field of the equation Sketch some of the solution curves suggested by the direction field Verify that the general solution of the equation is x C (t 3) 2 and check that the members of this family resemble the solution curves you have sketched on the direction field dx dt 2x t 3...

Draw the direction field of the equation Sketch some of the solution curves suggested by the direction

Question:

Draw the direction field of the equation

dx dt 2x t-3

Sketch some of the solution curves suggested by the direction field. Verify that the general solution of the equation is x = C/(t – 3)² and check that the members of this family resemble the solution curves you have sketched on the direction field.

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