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Differential EquationsMediumNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Medium problem

Apply Euler's method with step h=14h = \frac{1}{4} to y′=3xy' = 3 x, y(0)=2y(0) = 2. Find the approximation to y(12)y(\frac{1}{2}) after two steps. Express your answer as a common fraction if needed.