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(Solved): 3. Write down the general solution form to the nth order LNDE, using the method of selecting a parti ...



3. Write down the general solution form to the nth order LNDE, using the method of selecting a particular solution (without calculating undefined coefficients)

3. \( y^{V}+9 y^{\prime \prime \prime}= \)
\( x^{2} \cos 3 x+x \sin 3 x-3-e^{-3 x}+x e^{3 x} \sin 3 x \)
3. \( y^{V}+9 y^{\prime \prime \prime}= \) \( x^{2} \cos 3 x+x \sin 3 x-3-e^{-3 x}+x e^{3 x} \sin 3 x \)


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We need to find the general solution of the linear differential equation. Since yV+9y?=x2 cos?(3x)+x sin?(3x)?3?e?3x+xe3x sin?(3x) The characteristic
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