the differential equation.

Solve the differential equation dy/dt=6y with y(0)=5
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dy/dt=6x impli y=3x^2+konst

EVALUATE y at x=0...y=3x^2+5
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x is not part of the question, which reads dy/dt=6y. The solution is y=5e^6t and you use separation of variables to solve it: dy/y=6dt. When integrated this becomes ln(y)=6t+C or y=ae^6t. When y=5, t=0 so a=5.
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