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Find the general solution of the following nonhomogeneous equations: • y '' − 2y ' +...

Find the general solution of the following nonhomogeneous equations:

• y '' − 2y ' + 5y = 25x ^2 + 12

• y ''− 3y ' + 2y = 10 sen 2x

• y '' − 2y ' + y = e^x + e^−2x

• y '' − y = x sen x

• y '' − 6y ' + 9y = 5e^x sen x

• y '' + y ' + y + 1 = sen x + x + x ^2

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