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dy/dx = 4ye^(5x)

a) Separate the differential equation, then integrate both sides.

b) Write the general solution as a function y(x).

For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or integrate both sides...

  • Calculus -

    dy / y = 4 e^(5x) dx

    ln y = (4/5) e^(5x) + c

    e^ln y = y = e^ [(4/5)e^(5x) +c)

    y = e^c e^[(4/5)e^(5x) ]

    y = C e^[(4/5)e^(5x) ]

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