Past exam of the year 1 of the computer science course of the University of Oxford / 2016 / Discrete mathematics, continuous mathematics and probability / 6 / d / i

Write the derivative equation as $f^{\prime }(x)=\Phi (x,f(x))$ with initial approximation $y_0$. The forward Euler method uses the slope at the start of the step:If the derivative is a known function of $x$ alone, this is $y_{i+1}=y_i+h{f}^{\prime }(x_i)$.