Use the strategy of Example 3 to find a value of h for Euler’s method such that y(1) is...

Use the strategy of Example 3 to find a value of h for Euler’s method such that y(1) is approximated to

within if y(x) satisfies the initial value problem

Also find, to within ± 0.05 the value of x₀ such that y (x0) = 0.2. Compare your answers with those given by the actual solution (verify!). Graph the polygonal-line approximation and the actual solution on the same coordinate system.