Find the solution of d 9y(3 - y) , y(0) = 9. (Express numbers in exact form. Use symbolic notation and fractions where needed )
Added by Francis V.
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First, we need to find the general solution of the differential equation: d(9y(3-y)) = 9(3-2y)dy Now, we can use separation of variables to solve for y: dy/(y(3-y)) = (9/2)(3-2y)dx Integrating both sides: ∫dy/(y(3-y)) = ∫(9/2)(3-2y)dx Using partial fractions, Show more…
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