Show that the family of circles (x+1)^2+(y-3)^2 = c^2 can be interpreted as two families of solution of the differential equations dy/dx = -(x-1)/y-3

Question

aivantettet26 · Answer

$$\frac{ dy }{ dx } = \frac{ -(x+1) }{ y-3 }$$

anonymous · Answer

The proof is as follows. I hope u know Chain Rule and that differentiation is a linear function. Sorry for the picture being a bit hazy.

irishboy123 · Answer

you can also solve the DE, it is clearly separable.

in fact, that might be much easier as you can complete the square

anonymous · Answer

yeah... that's an option too... but arranging it into the standard form for a circle would be tedious @IrishBoy123

irishboy123 · Answer

your choice :p