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Year 12 Maths Extension 1 (2027) Further applications of calculus

Modelling with DEs (growth & decay)

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Question 1
182884

The differential equation \(\dfrac{dQ}{dt}=kQ\) has general solution:

A.
\(Q=Ae^{kt}\)
B.
\(Q=kt+A\)
C.
\(Q=A+kt^2\)
D.
\(Q=e+kt\)
\(Q=Ae^{kt}\)

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