I'm not sure under what heading this belongs but I'm going to ask here:(adsbygoogle = window.adsbygoogle || []).push({});

Show that the field lines y = y(x) of a vector function

[tex] \mathbf F(x,y) = \mathbf i F_x(x,y)+\mathbf j F_y(x,y)[/tex]

are solutions of the differential equation

[tex]\frac {dy} {dx} = \frac {F_y(x,y)} {F_x(x,y)} [/tex]

Could someone suggest a way to get started on this one?

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# Homework Help: Field lines

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