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Differential EquationsMediumNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Medium problem

A cup of coffee cools according to Newton's law of cooling T′=−0.3(T−70)T' = -0.3(T - 70) (T in degrees Fahrenheit, t in minutes), T(0)=200T(0) = 200. Using Euler's method with step h=1h = 1 minute, after how many whole minutes does the Euler estimate of the temperature first drop below 120120 degrees?