$(07\mathrm{.}03$ MC$)$

Let $y=f(x)$ be the solution to the differential equation $f^{\text{'}}(x)=2xy$ with the initial condition $f(1)=2.$ What is the approximation for $f(2)$ if Euler's method is used with two steps of equal length?

$75$

$10$

$20$

$9$