3. [-/1 Points] DETAILS ZILLDIFFEQMODAP11 4.1.004. 0/6 Submissions Used MY NOTES The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. y = Cj + C2 cos(x) + c; sin(x), (-co, co); y""' + y' = 0, y(1) = 0, y'(7) = 4, y"(1) = -1 y= Need Help? Read It Watch It Submit Answer 4. [-/2 Points] DETAILS ZILLDIFFEQMODAP11 4.1.017.EP. 0/6 Submissions Used MY NOTES Consider the following functions. f. (x) = 8, f2 (x) = cos2(x), f3(x) = sin?(x) g(x) = cif, (x) + 62f2(x) + Caf=(x) Solve for Cy, C2, and c; so that g(x) = 0 on the interval (-co, co). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) Determine whether fir for f3 are linearly independent on the interval (-co, co). O linearly dependent O linearly independent Need Help? Read It Watch It