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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+yy' = t + y, y(0)=3y(0) = 3, to estimate y(32)y(\frac{3}{2}). Express your answer as a common fraction or integer.