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SCALCET$99.$XP$\mathrm{.}1\mathrm{.}004.$

Verify that $y=-6tcos(t)-6t$ is a solution of the following initial$-$value problem.

$]=t\frac{dy}{dt}=t(,)=6t^{2}sin(t)-6tcos(t)-6t[RHS$

so $y$ is a solution of the differential equation. Also $y()=$ so the initial condition is satisf