Thread: Uniqueness fomulation: Correct?

I have attached a picture of my answer to the following problem for review please:

Give the precise formulation of the existence and uniqueness theorem for the problem:
y^(n) + a1(x)y^(n-1) + ... + an(x)y = f(x);
y(x0) = y0;
y0(x0) = y1,... y(n-1) = yn; on the interval (a; b).

where y^n is a derivative, and a1 is a subscript 1