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Non homogeneous eq w constant; undetermined coefficients Find the general solution: 1) y" + 4y' +...

Non homogeneous eq w constant; undetermined coefficients

Find the general solution:

1) y" + 4y' + 4y = xe^−x.

2) y" + 2y' + 5y = e^2x cos x.

Determine a suitable form for a particular solution z = z(x) of the given equations

1) y" + 2y' = 2x + x^2e^−3x + sin 2x.

2) y" − 5y' + 6y = 2e^2x cos x − 3xe^3x + 5.

3) y" + 5y' + 6y = 2e^2x cos x − 3xe^3x + 5e^−2x.

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