Question: Question 13 (12 marks) Consider the following separable differential equation. dy -cos (y)e-z (a) Find the constant (or equilibrium) solutions of this differential equation.

Question 13 (12 marks) Consider the following separable differential equation. dy -cos

Question 13 (12 marks) Consider the following separable differential equation. dy -cos (y)e-z (a) Find the constant (or equilibrium) solutions of this differential equation. There are infinitely many of them! (b) Use your answer to (a) to write down the solution with initial value y = when x = 0. (c) What does the answer to (a) tell us about the range of solution with initial value y = 0 when x=0? dr (d) Use the method for solving separable differential equations to solve this equation in the case where - < y Question 13 (12 marks) Consider the following separable differential equation. dy -cos (y)e-z (a) Find the constant (or equilibrium) solutions of this differential equation. There are infinitely many of them! (b) Use your answer to (a) to write down the solution with initial value y = when x = 0. (c) What does the answer to (a) tell us about the range of solution with initial value y = 0 when x=0? dr (d) Use the method for solving separable differential equations to solve this equation in the case where -

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a To find the constant solutions we set the derivative equal to zero dydx cos2yex 0 This equation is ... View full answer

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