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    I have the differential equation:

    y'' + a2y = cos[ (2a-3) t ]

    I am told that the equation shows resonance.

    I understand how to solve this type of question when a number is given in-front of the y term, however this has been replaced with 'a'.

    Im unsure of how to calculate a. I understand that the '2a-3' must be part of the complimentary function to show resonance, but i'm unable to see the link between the a2 term and the 2a-3. Any help please?

    Thanks!
 
 
 

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