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Solution :

`y=e^(6x)*cosx`<br>
differnetiate with respect to x<br>
`y'(x)=cos3xe^(6x)6+e(6x)(-sin3x)3`<br>
again differentiate with respect to x<br>
`y''(x)=6(cos3x*e^(6x)*6-3sin3x*e^(6x))-3(sin3xe^(6x)+e(6x)*cos3x*3)`<br>
=`27cos3xe^(6x)-36sin3xe^(6x)`<br>
=`e^(6x)(27cos3x-36sin3x)`**Definition and geometric meaning.**

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