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Please help me with this differential equation question. I don't understand how to do it. a) For which values of k does the function y=3cos(kt)

Please help me with this differential equation question. I don't understand how to do it.

a) For which values of k does the function y=3cos(kt) satisfy the dierential equation;

25(d2y/dt2)= -4y?

b). For which values of r does the function y=erx satisfy the dierential equation;

(d2y/dx2) - 6(dy/dx) +8y = 0

Thank you in advanced!!

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