Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Solve the given differential equation by separation of variables ?

yln(x)*(dx/dy)=[(y+1)/x]^2

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  • Amy
    Lv 7
    1 month ago

    After separating the variables, the y side is just a polynomial which you should have no trouble integrating. The x side requires integration by parts (but you can google the answer).

  • rotchm
    Lv 7
    1 month ago

    Hints: Using highschool algebra, separate it. What do you get?

    Answer that, un-anon yourself, and we will then proceed.

  • ted s
    Lv 7
    1 month ago

    x² ln x dx = (y + 1 )² / y   dy....integrate both sides...let w = ln x ==> x = e^w---> w e^(3w) dw = ( y + 2 + 1 / y ) dy..trivial integration

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