Further Pure Mathematics 2 (FP2) help needed

Can someone lay out the steps for part (b)?

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(edited 2 years ago)

From Part a) you have shown that (I) can be written as (II). Solve the differential equation number (II) for v and then back-substitute y (i.e. you'll have v = f(x) but you know v = 1/y^2 so sub that in and write in form y^2 = f(x)).

(edited 2 years ago)

Reply 2

Carl Pieck

Original post by MiladA

Could you please show me the steps? I am stuck in the integration point

Reply 3

davros

Original post by Carl Pieck

Could you please show me the steps? I am stuck in the integration point

Can you post your working up to where you're stuck? The transformed DE should be a case of using an integrating factor to solve, so which integration is giving you problems?

Reply 4

Carl Pieck

Original post by davros

Can you post your working up to where you're stuck? The transformed DE should be a case of using an integrating factor to solve, so which integration is giving you problems?

Appreciate the effort but I have solved it. I was unable to recall that integral of f'(x)e^f(x) = e^f(x) and was hesitant to use integration by parts.