AP® Calculus AB-BC

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Differential Equation: Particular Solution with Newton's Cooling

APCALC-EGQCK3

What is the particular solution to the differential equation: $dT+k(T-30)dt=0$ if $T(0)=90$? Let $k$ be a constant.

A

$T=-120e^{-kt}+30$

B

$T=-30e^{-kt}+30$

C

$T=60e^{-kt}+30$

D

$T=120e^{-kt}+30$