(Solved): 5. Find the value \( \phi(1) \) for a solution \( \phi(x) \) to the initial value problem: \[ (1+2 ...

5. Find the value \( \phi(1) \) for a solution \( \phi(x) \) to the initial value problem: \[ (1+2 x) y^{\prime \prime}+4 x y^{\prime}-4 y=0 ; y(0)=1, y^{\prime}(0)=-1 \] given that \( e^{-2 x} \) is a solution to \( (1+2 x) y \prime \prime+4 x y \prime-4 y=0 \). \( e^{-2} \) 0 \( e^{-2} \ln 2 \) \( 1+e^{-2} \) \( 1-e^{-2} \)