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Further Mathematics Differential Equation

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    Hi,

    Could anyone help me with this question? Much thanks and appreciation
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    (Original post by marcuskhoo)
    Hi,

    Could anyone help me with this question? Much thanks and appreciation
    What are you stuck on? How much have you done?
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    For the first part, use applications of the chain rule.  \frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}
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    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
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    (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
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    (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.
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    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?
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    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

    Blessed weekend, Cheers
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    (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

    Blessed weekend, Cheers
    So, you know how to do it right?
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    (Original post by marcuskhoo)
    Hi,

    Could anyone help me with this question? Much thanks and appreciation
    Is this FP1 or FP2?
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    (Original post by NotNotBatman)
    So, you know how to do it right?
    Yeaps. Thank you mate
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    (Original post by Himtiaz)
    Is this FP1 or FP2?
    This is FP2.
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    (Original post by marcuskhoo)
    Yeaps. Thank you mate
    Great. No problem.
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    (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?
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    [QUOTE=marcuskhoo;67736800]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
 
 
 
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