How can I verify that the functions y1 and y2 are solutions of the differential equation? And how do I know if they constitute a fundamental set of solutions?

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\[y'' +4y = 0\]
\[y _{1} = \cos(2t)\]
\[y _{2} = \sin(2t)\]

how would you know of x=5 is a solution to the equation x+3 = 10 ?

from x+3 =10, i know x =7. that means x=5 is not a solution.

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