Sketch the slope field












1














I need to sketch the slope field for this ODE $ y'=frac{y+x-6xe^{frac{y}{x}-2}}{x} $.



The first step is $f(x,y)=frac{y+x-6xe^{frac{y}{x}-2}}{x}=c $, where $c=const$. Now I have to draw the curves and slopes, but, I'm not really sure how to do that analytically. Any help? Thanks.






differential-equations differential slope







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  • Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
    – Sean Roberson
    yesterday
















1














I need to sketch the slope field for this ODE $ y'=frac{y+x-6xe^{frac{y}{x}-2}}{x} $.



The first step is $f(x,y)=frac{y+x-6xe^{frac{y}{x}-2}}{x}=c $, where $c=const$. Now I have to draw the curves and slopes, but, I'm not really sure how to do that analytically. Any help? Thanks.






differential-equations differential slope







share|cite|improve this question
























  • Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
    – Sean Roberson
    yesterday














1












1








1


0





I need to sketch the slope field for this ODE $ y'=frac{y+x-6xe^{frac{y}{x}-2}}{x} $.



The first step is $f(x,y)=frac{y+x-6xe^{frac{y}{x}-2}}{x}=c $, where $c=const$. Now I have to draw the curves and slopes, but, I'm not really sure how to do that analytically. Any help? Thanks.






differential-equations differential slope







share|cite|improve this question















I need to sketch the slope field for this ODE $ y'=frac{y+x-6xe^{frac{y}{x}-2}}{x} $.



The first step is $f(x,y)=frac{y+x-6xe^{frac{y}{x}-2}}{x}=c $, where $c=const$. Now I have to draw the curves and slopes, but, I'm not really sure how to do that analytically. Any help? Thanks.






differential-equations differential slope




differential-equations differential slope






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited yesterday

























asked 2 days ago









stakindmidl

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  • Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
    – Sean Roberson
    yesterday


















  • Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
    – Sean Roberson
    yesterday
















Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
– Sean Roberson
yesterday




Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
– Sean Roberson
yesterday










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