For what values of k does the function y = cos(kt) satisfy the diffe.pdf

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For what values of k does the function y = cos(kt) satisfy the differential equation 4y\'\' = -25y? k= ? (smaller value) k=? (larger value) please explain Solution y\"=-25/4 (coskt) y\'=-25/4k sinkt y=25/4k2 coskt y=±5/2.

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For what values of k does the function y = cos(kt) satisfy the diffe.pdf

For what values of k does the function y = cos(kt) satisfy the differential equation 4y'' = -25y? k= ? (smaller value) k=? (larger value) please explain Solution y"=-25/4 (coskt) y'=-25/4k sinkt y=25/4k2 coskt y=±5/2