A curve in the plane satisfies and

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A curve in the plane satisfies

\dfrac{dx}{dt}=t^{2}-1

and

\dfrac{dy}{dt}=e^{t}

. The curve passes through

(0,5)

at

t=0

. Determine the equation for

y(t)

.

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