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Math Help - taking intro to ordinary differential equations; need some help

  1. #1
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    taking intro to ordinary differential equations; need some help

    If somebody can help me how to solve couple of equations:

    tandr + 2rDo=0


    (x+4)(y^2+1)dx +y(x^2+3x+2)dy=0


    (2xy+3y^2)dx-(2xy+x^2)dy=0

    is first oder equations
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  2. #2
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    Quote Originally Posted by valguerra View Post
    If somebody can help me how to solve couple of equations:

    tandr + 2rDo=0
    this is incomprehensible

    (x+4)(y^2+1)dx +y(x^2+3x+2)dy=0
    this is of variables seperable type:

    \frac{dy}{dx}=-\frac{(x+4)(y^2+1)}{y(x^2+3x+2)}=-\frac{x+4}{x^2+3x+2}\ \frac{y^2+1}{y}

    \frac{y}{y^2+1}\frac{dy}{dx}=-\frac{x+4}{x^2+3x+2}

    RonL
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