Solve the differential equation \((x^2 - 1)dx + xydy = 0\)
Added by Julia S.
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To do this, we rearrange the equation to get: dy/dx = -x/(x^2 I) Now we can see that the variables x and y are separated, so we can integrate both sides with respect to their respective variables: ∫dy = -∫x/(x^2 I) dx y = -ln|x|/I + C where C is the constant Show more…
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