A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve? (Use x as the independent variable.) ...?
y' = 2y y'/y = 2 dy/y = 2dx lny = 2x + k y = (e^k)(e^2x) 5 = e^k
y = 5e^(2x)
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