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The general solution of $dy/dx = ky$ is:
A$y = kx + C$, the integral of the constant on the chart
B$y = Ce^{kx}$, the exponential family of growth/decay curves
C$y = k\ln x + C$, the logarithm on the school chart curve
D$y = C\sin(kx)$, the sinusoidal solution on the chart
Answer & Solution
Correct answer: B. $y = Ce^{kx}$, the exponential family of growth/decay curves
Separate: $dy/y = k\, dx$; integrate: $\ln|y| = kx + C'$; exponentiate: $y = Ce^{kx}$.
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