alleryGeneral solution of dy/dx = k y:
Ay = kx + C
By = C × e^(kx) (exponential)
Cy = x²
Dy = k
Answer & Solution
Correct answer: B. y = C × e^(kx) (exponential)
We have dy/y = k dx → ln|y|.
That is dy/y = kx + C → y.
So dy/y = A e^(kx).
Famous equation of exponential growth (k > 0) or decay (k < 0).
Models population, radioactivity, capacitor discharge.
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