I did have a doubt about that when i did it. So partial fractions are one option. Are there any other options of doing this without multiplying P with 5-P?

Original post by notnek

\displaystyle \frac{1}{5p-p^2} = \frac{1}{5p} - \frac{1}{p^2}

This is incorrect - you can't split a fraction up like this. In general :

\displaystyle \frac{A}{B+C} \neq \frac{A}{B} + \frac{A}{C}

You should be using partial fractions instead.

Reply 4

Notnek

Original post by Jyashi

I did have a doubt about that when i did it. So partial fractions are one option. Are there any other options of doing this without multiplying P with 5-P?

There are other methods but they go beyond C4 and would make this more complicated than it is.

You should be using partial fractions for a differential equation like this.

Reply 5

Jyashi

Ok thanks ill give it a second go and post back solution on this thread.

Original post by notnek

There are other methods but they go beyond C4 and would make this more complicated than it is.

You should be using partial fractions for a differential equation like this.

Reply 6

Jyashi

After going through the whole process again i get:

LN (P (5-P))=T÷3

Is this right?

Original post by Jyashi

Ok thanks ill give it a second go and post back solution on this thread.

(edited 7 years ago)

Reply 7

Jyashi

After going through the whole process again i get:

LN (P (5-P))=T÷3

Is this right?

Original post by notnek

There are other methods but they go beyond C4 and would make this more complicated than it is.

You should be using partial fractions for a differential equation like this.