how to create diferential equation with initial conditions ?

For the differential equation how would I create a Matlab function that takes no inputs and returns the following outputs:

1. Two vectors, x and y, containing the points where the differential equation has been approximated and the corresponding value of the solution.
2. A real number representing the integral of the approximated solution in the interval where the differential equation has been solved.

For the ordinary differential equation:
d3y dx3 + dydx - xy + d2ydx2 = 2; 
x 3 [1:1; 5:8]

with initial conditions y(0) = 0:0616;dydx(0) = 0.5886; d2ydx2(0)=0.0989

[Star Strider]

What does ‘x 3 [1:1; 5:8]’ mean?

Similar to: http://www.mathworks.com/matlabcentral/answers/124332-representing-and-approximating-third-order-differential-equations.

[RahulTandon]

x 3 [1:1, 5:8] means x3 = [1:1,5:8] Am i right?