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Math Help - [SOLVED] Differential

  1. #1
    Member ronaldo_07's Avatar
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    [SOLVED] Differential

    How do I solve this equation:

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  2. #2
    Senior Member
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    Quote Originally Posted by ronaldo_07 View Post
    How do I solve this equation:


    Hello ronaldo_07

    y' = tan(x)*y has the trivial solution y=0

    Otherwise

    y' = tan(x)*y

    <=> \frac{y'}{y} = tan x

    <=> \frac{1}{y}\frac{dy}{dx} = tan x

    <=> \frac{1}{y}dy = tan(x) dx

    <=> \int \frac{1}{y}dy = \int tan(x) dx + C

    <=> ln|y| = ...

    Do you need some more hints?

    Regards,
    Rapha
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  3. #3
    Member ronaldo_07's Avatar
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    thanks that was helpful enough
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