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Suppose yp(x) = x cos 2(x) is a particular solution of y" + αy = - 4 sin (2x)
Then, the constant α equals
  • a)
    -4
  • b)
    -2
  • c)
    2
  • d)
    4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Suppose yp(x) = x cos 2(x) is a particular solution of y" + &alph...
Since yp=xcos2x is a solution of y"+ay=-4sin2x , we substitute y in that equation. So we get
y"=-4sin2x-axcos2x
y=xcos2x
Differentiating, y'= -2xsin2x+cos2x
Taking derivative again, y"=-4sinx-4xcos2x
Comparing with the above y", a=4
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Community Answer
Suppose yp(x) = x cos 2(x) is a particular solution of y" + &alph...
To determine if yp(x) = x cos(2x) is a particular solution of y, we need to find the general solution of y and substitute in the given particular solution to check if it satisfies the differential equation.

The differential equation is not provided, so we cannot determine if yp(x) is a particular solution without knowing the equation. Please provide the differential equation for further analysis.
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Suppose yp(x) = x cos 2(x) is a particular solution of y" + αy = - 4 sin (2x)Then, the constant α equalsa)-4b)-2c)2d)4Correct answer is option 'D'. Can you explain this answer?
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