Question 1: The initial-value problem: y= (0.1x)/y and y(-1)= 0.4 Using Euler's method estimate y(0) with step size h= 0. Using Euler's method to...

Question 1:

The initial-value problem:

y′= (0.1x)/y and y(-1)= 0.4

Using Euler's method estimate y(0) with step size h= 0.5.

Using Euler's method to estimate y(0) with step size h= 0.25.

Question 2:

Consider the following initial-value problem:

y′= 2e2x−y and y(0)= ln(2).

Determine exact formula for y=y(x).