Required information

Consider the following initial value problem:

$\frac{dy}{dt}=y{t}^2-1\mathrm{.}1y$

Identify the analytical solution $of$ the given initial value problem over the interval from $t=0to2.$ Given, $y(0)=1.$

Multiple Choice

$y=y\frac{t^3}{3}-1\mathrm{.}1yt$

$y=\frac{t^3}{3}-1\mathrm{.}1t$

$y=e^{t^{\frac{3}{3}}-1\mathrm{.}1t}$

$y=e^{\frac{t^3}{3}-1\mathrm{.}1t}$