method of Undetermined coefficient, find P.I of y''+2y'+5y=6sin2x+7cos2x by UC method ( S.M yusuf )

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solve y''+2y'+5y=6sin2x+7cos2x.
this video tutorial provide a basic introduction into the method of undermined coefficient which can be used to solve nonhomogeneous second order differential equation. this video contains plenty of example.
Here we discuss how to find particular solutions of linear differential equation contain with constant coefficient using method of undermined coefficient.
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sir apne bola tha ki rhs agar trigno aye to dono likhna hai yp me to yaha alrwady sinx cos hai to yp me bhi 4 aana chaiye na sir 😢pls reply
Yp=Asin2x + bcos2x +csin2x+dcos2x hona chaiye na??

sinister
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Y”+4y=(x^2)(sin2x)
Is the ans of this quest is

nadeemahmedkhan