Find the general solution to the following equations. 1. ( frac{d^{2} y}{d x^{2}}+4 frac{d y}{d x}=5 x^{2} e^{x} ) 2. ( frac{d^{2} y}{d x^{2}}-5 frac{d y}{d x}+6 y=4 e^{-x}+3 e^{2 x} ) 3. ( frac{d^{2} y}{d x^{2}}+9 y=5 cos (2 x)+6 sin (3 x) )

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Find the general solution to the following equations. 1.  (  frac{d^{2} y}{d x^{2}}+4  frac{d y}{d x}=5 x^{2} e^{x}  ) 2.  (  frac{d^{2} y}{d x^{2}}-5  frac{d y}{d x}+6 y=4 e^{-x}+3 e^{2 x}  ) 3.  (  frac{d^{2} y}{d x^{2}}+9 y=5  cos (2 x)+6  sin (3 x)  )

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(Solved): Find the general solution to the following equations. 1. \( \frac{d^{2} y}{d x^{2}}+4 \frac{d y}{d ...

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