Question: 1.1 Identify by showing your workings whether the ODE is homogeneous or not. dy dx x + y xy 1.2 Determine whether the ODE

1.1 Identify by showing your workings whether the ODE is homogeneous or not. dy dx x + y xy 1.2 Determine whether the ODE is or is not separable. dy + xy=4x dx (2 Marks) (2 Marks) 1.2 Solve the following ODE by integration y' = -sinn x (3 Marks) 1.3 Solve the following equation using the integration factor method for + 2y = 5e-t where y(0) = 2 1.4 Confirm your answer in question 1.3 by solving this equation using the Laplace method. (6 Marks) (7 Marks)

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