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Solve the initial-value problem. $$ 9 y^{\prime \prime}+12 y^{\prime}+4 y=0, \quad y(0)=1, \quad y^{\prime}(0)=0 $$...

Question

Solve the initial-value problem. $$ 9 y^{\prime \prime}+12 y^{\prime}+4 y=0, \quad y(0)=1, \quad y^{\prime}(0)=0 $$

Solve the initial-value problem. $$ 9 y^{\prime \prime}+12 y^{\prime}+4 y=0, \quad y(0)=1, \quad y^{\prime}(0)=0 $$



Answers

Solve the initial value problem:
$$\begin{array}{ll}{y^{\prime \prime \prime}-y^{\prime}=0 ;} & {y(0)=2} \\ {y^{\prime}(0)=3,} & {y^{\prime \prime}(0)=-1}\end{array}$$


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