Recent content by inglezakis

  1. I

    Is there a mistake in dividing differentials for this equation?

    The constraint in the example we discuss is, xy=a, so f(x)=y=a/x and thus it is a function. What you mean by arbitrary function? Lets say you don't eliminate y and you use the constraint to solve the equation: ydx+ydy=0, constaint: xy=a By substituting x with a/y and after some...
  2. I

    Is there a mistake in dividing differentials for this equation?

    Hi JJacquelin, i don't think the supposition is wrong. You can still solve the equation and get the result. By the way, this equation represents a physical system (fluid flow) and i know that is true and the solution is correct. The target of the question is to find out what happens to a...
  3. I

    Is there a mistake in dividing differentials for this equation?

    The point of my question is that when we divide a differential equation by a function or variable we result in different solution (not always). Take the example: ydx+ydy=0, constaint: xy=a By substituting x with y/a and after some manipulations we arrive to (-a/y)dy+ydy=0 and on integration...
  4. I

    Is there a mistake in dividing differentials for this equation?

    Consider the differential equation dx+ydy=0, the integration leads to (x2-x1)+(y2^2-y1^2)/2=0 (1) Suppose we know that y/x = const. Lest proceed to the following manipulation on the initial equation, by dividing by (x), then dx/x+(y/x)dy=0, now the integration gives...
Back
Top