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anonymous
 one year ago
The general solution of the differential equation dy − 0.2x dx = 0 is a family of curves. These curves are all
lines
hyperbolas
parabolas
ellipses
anonymous
 one year ago
The general solution of the differential equation dy − 0.2x dx = 0 is a family of curves. These curves are all lines hyperbolas parabolas ellipses

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/widgets/view.jsp?id=e602dcdecb1843943960b5197efd3f2a

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i'm thinking hyperbolas but not sure

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[dy=0.2x dx\] by moving over \[\int\limits dy=\int\limits 0.2x dx\] Is that what you did?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and then I got y=0.2 which is a graph of a straight line at y=0.2, so I would call it a line.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0um .. no i just shamelessly plugged it into wolfram :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does this involve the slope field?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it might, some of the other questions iv been asked have involved the slope field

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0plug the equation into wolfram and scroll down to the family curve , it seems to show a parabola or hyperbola

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3after a simple integration I got this: \[\Large \int {dy = 0.2\int {xdx} = 0.2 \cdot \frac{{{x^2}}}{2}} + C\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Seems like a parabola. Any 2 curves symmetrical is a hyperbola.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh yea. I took derivative instead of integrating it..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay can you just explain to me what the hell family curves are ?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3since C is an arbitrary real constant, whose values can vary inside the set of real numbers, in other words, we have: \[\Large C \in \mathbb{R}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439275918663:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Family curves are a set of curves. If the function C is a constant value added to all the family curves, that means all of the curves have the same behavior right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay so basically its what the graph would look like despite what c could be, right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3yes! right! they differ only for the value of C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If the function y C* I mean.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay and this graph would look like a parabola despite what c is right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Since the graph shows the curves not symmetrical, therefore it cannot be a parabola.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I mean it cannot be a hyperbola.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you guys very much :D
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