 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-1/17/a/i/solution

Integrating

y^{''} = 0

once gives a constant first derivative, and integrating again gives

y (x) = C_{0} + C_{1} x .

There are two independent constants, as expected for a second-order ordinary differential equation.

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