Further Mathematics Differential Equation

marcuskhoo

1

Hi,

Could anyone help me with this question? Much thanks and appreciation :smile:

WhatsApp Image 2016-09-24 at 23.39.51.jpeg64.8KB

Original post by marcuskhoo

Hi,

Could anyone help me with this question? Much thanks and appreciation :smile:

What are you stuck on? How much have you done?

Reply 2

NotNotBatman

20

For the first part, use applications of the chain rule.

\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}

Reply 3

marcuskhoo

OP

1

Hey bro, thanks for replying.
I'm relatively new to this chapter. May i know how do you differentiate y=f(x), and x=e^u to prove dy/du?
I need little of guidelines regarding to that.
Thank you mate. Cheers

Original post by marcuskhoo

Hey bro, thanks for replying.
I'm relatively new to this chapter. May i know how do you differentiate y=f(x), and x=e^u to prove dy/du?
I need little of guidelines regarding to that.
Thank you mate. Cheers

y=x=e^u

\frac{dy}{dx}=1 \Rightarrow x\frac{dy}{dx}=x

\frac{dy}{du}=e^u=x

Reply 5

NotNotBatman

20

Original post by marcuskhoo

Hey bro, thanks for replying.
I'm relatively new to this chapter. May i know how do you differentiate y=f(x), and x=e^u to prove dy/du?
I need little of guidelines regarding to that.
Thank you mate. Cheers

You know that

\frac{d}{du}(e^u) = e^u

right?

You want

\frac{dy}{dx}

and by the chain rule that is

\frac{dy}{du} \times \frac{du}{dx}

as

f(g(x))' = f'(g(x))\times g'(x)

Also

\frac{dy}{dx} = \frac{1}{\frac{dx}{dy}}

Use dy/dx in terms of e^u and show what the question asks for.

(edited 7 years ago)

Reply 6

marcuskhoo

OP

1

Correct me if I am wrong
Du/Dx =e^u

However, may I know how to differentiate y=f(x) making it in terms of dy/du?

Reply 7

marcuskhoo

OP

1

@NotNotBatman @RDKGames
Thank you for your help. I misunderstood the question as i take function of as f(x) .
Thank you for your time once again.
appreciated it :smile:

Blessed weekend, Cheers

Reply 8

NotNotBatman

20

Original post by marcuskhoo

@NotNotBatman @RDKGames
Thank you for your help. I misunderstood the question as i take function of as f(x) .
Thank you for your time once again.
appreciated it :smile:

Blessed weekend, Cheers

So, you know how to do it right?

Reply 9

Himtiaz

12

Original post by marcuskhoo

Hi,

Could anyone help me with this question? Much thanks and appreciation :smile:

Is this FP1 or FP2?

Reply 10

marcuskhoo

OP

1

Original post by NotNotBatman

So, you know how to do it right?

Yeaps. Thank you mate :smile:

Reply 11

NotNotBatman

20

Original post by Himtiaz

Is this FP1 or FP2?

This is FP2.

Reply 12

NotNotBatman

20

Original post by marcuskhoo

Yeaps. Thank you mate :smile:

Great. No problem.

Reply 13

marcuskhoo

OP

1

Original post by Himtiaz

Is this FP1 or FP2?

Hey ,
May I know what is FP1/FP2?
I am taking CIE A-levels further maths.
Perhaps you're referring to Edexel or OCR Further maths?

Reply 14

Himtiaz

12

Original post by marcuskhoo

Hey ,
May I know what is FP1/FP2?
I am taking CIE A-levels further maths.
Perhaps you're referring to Edexel or OCR Further maths?[/QU

Further Pure 1 & Further Pure 2

Further Mathematics Differential Equation

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you