If you could show your work that will be much appreciated it :)....

$1) Consider $ 9 y^{\prime \prime}-12 y^{\prime}+4 y=0 $. a) Suppose $ y_{1}=e^{2 / 3^{x}} $. Solve for $ y_{2} $ using$

1) Consider $ 9 y^{\prime \prime}-12 y^{\prime}+4 y=0 $. a) Suppose $ y_{1}=e^{2 / 3^{x}} $. Solve for $ y_{2} $ using Reduction of Order but do not use short cuts. b) Suppose $ y_{1}=e^{2 / 3^{x}} $. Solve for $ y_{2} $ using formula. c) Find a general solution to $ 9 y^{\prime \prime}-12 y^{\prime}+4 y=0 $ using an auxiliary equation.

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If you could show your work that will be much appreciated it :)....

$1) Consider $ 9 y^{\prime \prime}-12 y^{\prime}+4 y=0 $. a) Suppose $ y_{1}=e^{2 / 3^{x}} $. Solve for $ y_{2} $ using$

1) Consider $ 9 y^{\prime \prime}-12 y^{\prime}+4 y=0 $. a) Suppose $ y_{1}=e^{2 / 3^{x}} $. Solve for $ y_{2} $ using Reduction of Order but do not use short cuts. b) Suppose $ y_{1}=e^{2 / 3^{x}} $. Solve for $ y_{2} $ using formula. c) Find a general solution to $ 9 y^{\prime \prime}-12 y^{\prime}+4 y=0 $ using an auxiliary equation.

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