Questionfalse: (5 points) form of $y_{p}$ for $y^{\prime \prime \prime}-3 y^{\prime}+2 y=x e^{x}$ is $\left(\mathrm{Ax}^{3}+B x^{2}\right) e^{x}$ the roots of the indicial equation are $-0.3,1.7$ then the D.E. has two nearly independent solutions $W(f, g, h)=\sin t$ then the functions $f, g, h$ are linearly dependent er bound for the radius of convergence for the series 1 of $\left(1-\mathrm{x}^{3}\right) y^{\prime \prime}+4 x y^{\prime}+y=0 \quad, \mathrm{x}_{0}=3 \quad$ is 2 $=1$ is a R.S.P for $(x-1)^{2} y^{\prime \prime}+3 y^{\prime}+(x-1) y=0$