Solve the equation (D^4-4)Y=X²cos h2x
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Step-by-step explanation:
find special solution of (D2+4)y=sinx
yc=c1sin2x+c2cos2x
yp=v1sin2x+v2cos2x
v′1sin2x+v′2cos2x=0(1)
2v′1cos2x−2v′2sin2x=sinx(2)
I tried to solve these two equation and found v1=−cos3x12+cosx4 couldt continue and also answer is given y=−xcos2x4. it seems my way is wrong or the answer.
and from inverse operator y might be
y=1F(−12)sinx=13sinx
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Answer:
Step-by-step explanation:
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