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Find a general solution to the following? higher-order equation: y''''+17y''+16y=0 I know you have to rewrite this...

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Advance Math

Find a general solution to the following? higher-order equation:y''''+17y''+16y=0

I know you have to rewrite this question into :

r4 + 17r2 +16 = 0

factoring I get (r2 +1)(r2+16), facotringfurther (r+i)2(r+4i)2

Am I correct so far? and if so how do I approach from this pointonwards?

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