Question: Consider the method Yk+1 = Yk + h [af(yk) + 3f(yk+1)] dy =f(y). Find constants dx for numerically solving autonomous differential equations a, 3ER

Consider the method Yk+1 = Yk + h [af(yk) + 3f(yk+1)] dy

Consider the method Yk+1 = Yk + h [af(yk) + 3f(yk+1)] dy =f(y). Find constants dx for numerically solving autonomous differential equations a, 3ER that yield the smallest local truncation error. You may assume boundedness of f's derivatives.

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