$1$ZConsider the initial value problem $y^{\text{'}}=y^{\frac{1}{3}},y(0)=0$ from Example $2\mathrm{.}4\mathrm{.}3$ in the text.

a$.$ Is there a solution that passes through the point $(1,$ If so$,$ find it$.$

b$.$ Is there a solution that passes through the point $(2,7)?$ If so$,$ find it$.$

c$.$ Consider all possible solutions of the given initial yalue problem. Determine the set of values that these solutions have at $t=2.$