(a) (b) Consider, the initial value problem y'= 3xy, y = (0) = 1 (1) Find...

 

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(a) (b) Consider, the initial value problem y'= 3x²y, y = (0) = 1 (1) Find the exact solution of y when x = 0.8 (ii) Solve using Euler's standard method with h = 0.25 Write down the Runge-Kutta methods for solving ODE of the form dy = f(x,y); y(0) = yo dx Order 2 Order 3 Order 4 [3 marks] [11 marks] [6 marks] (a) (b) Consider, the initial value problem y'= 3x²y, y = (0) = 1 (1) Find the exact solution of y when x = 0.8 (ii) Solve using Euler's standard method with h = 0.25 Write down the Runge-Kutta methods for solving ODE of the form dy = f(x,y); y(0) = yo dx Order 2 Order 3 Order 4 [3 marks] [11 marks] [6 marks]

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a i To find the exact solution of the initial value problem y 3x2y y 0 1 we can use the method of se... View the full answer