Differential Equations

Find the general solution:
dy/dx=x(1-x)

I did:
dy=x(1-x) dx
integrate both sides
y= x^2/2-x^3/3+C
answer didn't match

That's right.
What do you think the answer should have been?

That's right.
What do you think the answer should have been?

That's my answer. The book's answer is x=( Ce^t)/(1+Ae^t). :/

And are you sure that you write the question out correctly?

And are you sure that you write the question out correctly?

Yup.

That's my answer. The book's answer is x=( Ce^t)/(1+Ae^t). :/

Try this one then

\displaystyle 2 \frac{\mathrm{d}x}{\mathrm{d}y} = x(1-x)

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