Question: Solve the following initial-value problem from x = 0 to x = 0.75: dy/dx = yx2 y Use the non-self-starting Heun method with a

Solve the following initial-value problem from x = 0 to x = 0.75:

dy/dx = yx2 – y

Use the non-self-starting Heun method with a step size of 0.25. If y(0) = 1, employ the fourth-order RK method with a step size of 0.25 to predict the starting value at y(0.25).

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