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Choose C so that y(t) = −1/(t + C) is a solution to the initial value...

Choose C so that y(t) = −1/(t + C) is a solution to the initial value problem

y' = y2 y(2) = 3.

Verify that the given formula is a solution to the initial value problem.

x′ = −y, y′ = x, x(0) = 1, y(0) = 0: x(t) = cost, y(t) = sin t

Math   Calculus   
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