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inveniam_viam
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Problem and Equation: Solve dy/dx=-y/(x^2+y)
Put into standard form, this is ydx+(x^2+y)dy=0
The only ways of solving differential equations that I currently know are when they are either linear (which this is not), separable (this is also not), or exact (ditto), and I vaguely know about substitution but a little guidance on how to go about solving a problem like this would be greatly appreciated! I tried substituting V for the denominator (v=x^2+y) to try to get rid of the y but had no luck. Thanks very much!
Put into standard form, this is ydx+(x^2+y)dy=0
The only ways of solving differential equations that I currently know are when they are either linear (which this is not), separable (this is also not), or exact (ditto), and I vaguely know about substitution but a little guidance on how to go about solving a problem like this would be greatly appreciated! I tried substituting V for the denominator (v=x^2+y) to try to get rid of the y but had no luck. Thanks very much!