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aivantettet26
 one year ago
Show that the family of circles (x+1)^2+(y3)^2 = c^2 can be interpreted as two families of solution of the differential equations dy/dx = (x1)/y3
aivantettet26
 one year ago
Show that the family of circles (x+1)^2+(y3)^2 = c^2 can be interpreted as two families of solution of the differential equations dy/dx = (x1)/y3

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aivantettet26
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ dy }{ dx } = \frac{ (x+1) }{ y3 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The 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
 one year ago
Best ResponseYou've already chosen the best response.0you can also solve the DE, it is clearly separable. in fact, that might be much easier as you can complete the square

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah... that's an option too... but arranging it into the standard form for a circle would be tedious @IrishBoy123
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