[21] Question 3 Consider the initial value problem: y(0) = 1/(0) = 0, y" (0) = 1. 3.1) Write the higher order ODE as an

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21 Question 3 Consider The Initial Value Problem Y 0 1 0 0 Y 0 1 3 1 Write The Higher Order Ode As An 1 (40.58 KiB) Viewed 29 times

[21] Question 3 Consider the initial value problem: y(0) = 1/(0) = 0, y" (0) = 1. 3.1) Write the higher order ODE as an initial value problem of a system of first-order ODES. 3.2) State (without proof) the formula for the fourth-order Runge-Kutta method in vector form. 3.3) Use the fourth-order Runge-Kutta method to approximate the solution y(1) with stepsize h = 0.5. Perform the calculations correctly to four decimals. y" + 2y²y" - uy = sint,