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4. (a) Find the particular solution to the initial value problem (IVP) dy _ 9x2, y(0) = 1 dx (b) Evaluate the particular solution y

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4. (a) Find the particular solution to the initial value problem (IVP) dy _ 9x2, y(0) = 1 dx (b) Evaluate the particular solution y = f(x) of above IVP at x = 0.2, x = 0.4, x = 0.6, x = 0.8 and x = 1. Write your answers rounded to three decimal places. (c) Use Euler's method to approximate the solution of IVP dy _ 9x2, y(0) = 1 dx on the interval [0, 1] with h = 0.2. Write your answers rounded to three decimal places.5. Use Euler's method to approximate the solution of the IVP satisfying the initial conditions 31(0) : 2 on the interval [0, 0.3] with h : 0.1. Write your answers rounded to three decimal places. 6. Use Euler's method to approximate the solution of the IVP satisfying the initial conditions y(0) = O on the interval [0,1] with h = 0.2. Write your answers rounded to three decimal places

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