Given a differential equation y" – 16y = 2e4z. Applying the method of undetermined coefficients, choose the correct assumption of the particular solution. Oa. Y = Axe4 O b. Y = Ae4z Oc. Y = Ar + Be%" d. Y = Ax?eAZ

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Q: e*+y = e2r-y %3| C = e? C = -e? Option 4 Option 3 1 2 None of the choices Option 2

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Q: For what values of k does the function y = cos(kt) satisfy the differential equation 4y" = -9y? k =…

A: y=coskty'=-k sin kty''=-k2 cos kt4y''=-9y⇒-4k2 cos kt=-9 cos kt⇒-4k2=-9⇒k2=94

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A: Given  ex+y y' = e2x-y  y' = e2x-y/ ex+y y' = e2x-y-x-y  y' = ex-2y y' = ex/ e2y dy/dx= ex/ e2y e2y…

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