Question: It can be shown that the general solution of the differential equation y + y = 0 is given by y(x) = c1

It can be shown that the general solution of the differential equation y " + y = 0 is given by y(x) = c1 sin x + c2 cos x where c1 and c2 are some real numbers. The solution space V of that differential equation is the set of all its possible solutions. Find a basis for the solution space V, and determine its dimension.

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