(Recommended) The equation dy/dt = sin y has infinitely many steady states. What are they...
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(Recommended) The equation dy/dt = sin y has infinitely many steady states. What are they and which ones are stable ? Draw the stability line to show whether y(t) increases or decreases when y(0) is between two of the steady states. 21 Change Problem 21 to dy/dt (sin y). The steady states are the same, but now the derivative of f(y) will the solution actually do if y(0) is between two steady states? (sin y)2 is zero at all those states (because sin y is zero). What 22 (Recommended) The equation dy/dt = sin y has infinitely many steady states. What are they and which ones are stable ? Draw the stability line to show whether y(t) increases or decreases when y(0) is between two of the steady states. 21 Change Problem 21 to dy/dt (sin y). The steady states are the same, but now the derivative of f(y) will the solution actually do if y(0) is between two steady states? (sin y)2 is zero at all those states (because sin y is zero). What 22
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