Question

Find (if possible) the general solution of each of the following 2nd-order ODEs by rying y = ex. If you can't find a solution, give a reason. \text { (a) } y^{\prime \prime}+4 y^{\prime}+18 y=0 \text { (b) } y^{\prime \prime}+16 y^{\prime}-17 y=0 \text { subject to } y(0)=0 \text { and } y^{\prime}(0)=2 \text {. }

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