Eliminate A and B to obtain the differential equation: y=Asin2x+Bcos3x

xertion

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Eliminate A and B to obtain the differential equation:
y=Asin2x+Bcos3x

Believe me, I tried and tried all over again to solve this but can't.
Please help me how to do this.
 
Eliminate A and B to obtain the differential equation:
y=Asin2x+Bcos3x

Believe me, I tried and tried all over again to solve this but can't.
Please help me how to do this.

What would be the corresponding ODEs:

y1 = Asin(2x)

and

y2 = Bcos(3x)
 
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