Mathematics, 04.07.2020 01:01 unknownyobutt21

A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of initial conditions are given below. First verify that y1 and y2 are solutions of the differential equation. Then find a particular solution of the form y = c1y1 + c2y2 that satisfies the given initial conditions.

y'' + 49y = 0; y1 = cos(7x) y2 = sin(7x); y(0) = 10 y(0)=-4

y(x)=?

I am struggling on this problem overall, I missed class this week and I am trying to fill in the blanks. Any help would be greatly appreciated.

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A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of ini...