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Differential EquationsMediumNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Medium problem

Use Euler's method with step h=12h = \frac{1}{2} on y′=−2t+2yy' = - 2 t + 2 y, y(0)=2y(0) = 2, to estimate y(1)y(1). Express your answer as a common fraction or integer.