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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′=−t+3yy' = - t + 3 y, y(0)=1y(0) = 1, to estimate y(1)y(1). Express your answer as a common fraction or integer.