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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=14h = \frac{1}{4} on y′=−2t−yy' = - 2 t - y, y(0)=−1y(0) = -1, to estimate y(12)y(\frac{1}{2}). Express your answer as a common fraction or integer.