Sketch the slope field
$begingroup$
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.
ordinary-differential-equations differential slope
asked Jan 3 at 15:08
user25568user25568
1138
$endgroup$
add a comment |
$begingroup$
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.
ordinary-differential-equations differential slope
asked Jan 3 at 15:08
user25568user25568
1138
$endgroup$
$begingroup$
Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
$endgroup$
– Sean Roberson
Jan 3 at 19:34
add a comment |
$begingroup$
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.
ordinary-differential-equations differential slope
asked Jan 3 at 15:08
user25568user25568
1138
$endgroup$
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.
ordinary-differential-equations differential slope
ordinary-differential-equations differential slope
asked Jan 3 at 15:08
user25568user25568
1138
asked Jan 3 at 15:08
user25568user25568
1138
edited Jan 3 at 19:32
user25568
asked Jan 3 at 15:08
user25568user25568
1138
asked Jan 3 at 15:08
user25568user25568
1138
asked Jan 3 at 15:08
user25568user25568
1138
1138
$begingroup$
Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
$endgroup$
– Sean Roberson
Jan 3 at 19:34
add a comment |
$begingroup$
Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
$endgroup$
– Sean Roberson
Jan 3 at 19:34
$begingroup$
Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
$endgroup$
– Sean Roberson
Jan 3 at 19:34
$begingroup$
Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
$endgroup$
– Sean Roberson
Jan 3 at 19:34
add a comment |
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$begingroup$
Choose values of $x$ and $y.$ Toss into the derivative. Sketch a line element with the indicated slope at the point.
$endgroup$
– Sean Roberson
Jan 3 at 19:34