Question

Direction Field=Euler's method using step size.
(I will elaborate)

Answer 1

So lets say I have some Differential Equation: \(\large\color{black}{ \displaystyle \frac{dy}{dx}={\rm F}(x,y)}\)

the solution for which is some function \(\large\color{black}{ \displaystyle y=f(x)}\).

Lets say for instance I am given that y(0)=1 (i.e y=1 when x=0)

And lets say if I were to graph my step-size results using a step-size of h=1, and it looked like this: