MathCastle
Differential EquationsEasyNumerical Methods: Euler to Runge–Kutta

Numerical Methods: Euler to Runge–Kutta · Easy problem

Use one step of Euler's method with h=12h = \dfrac{1}{2} on y′=1yy' = \dfrac{1}{y}, y(0)=2y(0) = 2, to estimate y(12)y\left(\dfrac{1}{2}\right). Express your answer as a common fraction.