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Question Given that $y_{1}=t$ is a solution to the ODE $$ t y^{prime prime)-(t+2) y^{prime}+left(1+frac{2}{t} ight) y=0 $$ (1) Find another solution $y_{2}$ that is
Question Given that $y_{1}=t$ is a solution to the ODE $$ t y^{\prime \prime)-(t+2) y^{\prime}+\left(1+\frac{2}{t} ight) y=0 $$ (1) Find another solution $y_{2}$ that is linearly independent of $y_{1}$. (2) Then write down the general solution to the ODE $$ t y^{\prime \prime)-(t+2) y^{\prime}+\left(1+\frac{2}{t} ight) y=t $$ Note, for this part, you can keep the integral form of the solution.CS.SD.108|
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