Find the solution to the initial value problem. Write your answer in the form y =...

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Find the solution to the initial value problem. Write your answer in the form y = f(x) for some function f. dy dx 3 = y + 2xy, y(0) = 1 [2 marks] Use Euler's method with four steps of size h = 0.1 to find an approximation to the solution of y = 2t y if y(0) = 0. What is your approximate value of y(0.4)? [1 marks] Find the solution to the initial value problem. Write your answer in the form y = f(x) for some function f. dy dx 3 = y + 2xy, y(0) = 1 [2 marks] Use Euler's method with four steps of size h = 0.1 to find an approximation to the solution of y = 2t y if y(0) = 0. What is your approximate value of y(0.4)? [1 marks]