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# really struggling - differential equation ocr mei

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1. http://www.mei.org.uk/files/papers/c410ja_4754.pdf

7i

i differentiated fine but i have no idea where to go from here like even the mark scheme doesnt make sense and im stressing can someone give me a worked solution thanks
2. (Original post by liverpool2044)
i differentiated fine but i have no idea where to go from here like even the mark scheme doesnt make sense
It's saying that you need to verify that the given equation satisfies the D.E including the initial conditions.

1. Differentiate and show it's x(1-x).

2. Show that when t=0, x=0.5.

and im stressing can someone give me a worked solution thanks
No.
3. its the 1-x part that doesnt make sense to me ive never understood the 4th stage of the mark scheme
4. (Original post by liverpool2044)
its the 1-x part that doesnt make sense to me ive never understood the 4th stage of the mark scheme
What do you get when you differentiate the expression given?

What is 1-x?

5. i get the 1 - 1/1+e^-t but then when it goes on to say 1+e^-t - 1 on the numerator i dont get
6. (Original post by liverpool2044)
i get the 1 - 1/1+e^-t but then when it goes on to say 1+e^-t - 1 on the numerator i dont get
Do you remember how to add fractions from GCSE?

.

Here:

by making common denominators.

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