Let differential equation dy/dx=6x, with intial condition y(0)=2
i) Use Euler's method with 2 steps to find y when x=1: y(1)=? Now use 4 steps: y(1)=?
ii) Determine solution to the differential equation (with given initial condition)?
iii) Compute magnitude of error in two Euler approximations you found? With two steps? With four steps?