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Find general solution for differential equation watch

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    Sin(y)cos(x) dy/dx = (x)cos(y)/cos(x)

    Here is my working out so far:

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    (Original post by TSRforum)
    Sin(y)cos(x) dy/dx = (x)cos(y)/cos(x)

    Here is my working out so far:

    Name:  image.jpg
Views: 151
Size:  510.7 KB
    integration by parts in the RHS
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    What about cos(y)sin(2x) dy/dx = cot(x)cosec(y) ? I got sin(y)cos(y) dy = 1/2cosecx^2 dx is this correct? I cant seem to integrate the dy part


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    (Original post by TSRforum)
    Sin(y)cos(x) dy/dx = (x)cos(y)/cos(x)

    Here is my working out so far:

    By parts and then using inspection to solve that integral. The following may help you:

     \dfrac{\mathrm{d}}{\mathrm{d}x} \tan^2x = 2 \tan{x} \sec^2x
 
 
 
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