Consider the differential equation $\frac{dy}{dt}=-0\mathrm{.}3(y4),$ with $y(0)=-1$

In all parts below, round to $4$ decimal places.

Part $1$

Use $n=4$ steps of Euler's Method with $h=0\mathrm{.}5$ to approximate $y(2).$

$y(2)$~~

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Part $2$

Use $n=8$ steps of Euler's Method with $h=0\mathrm{.}25$ to approximate $y(2).$

$y(2)$~~

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Part $3$

Find $y(t)$ using separation of variables and evaluate the exact value.

$y(2)=$

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