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integral curve

noun

, Mathematics.
  1. a curve that is a geometric representation of a functional solution to a given differential equation.


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Example Sentences

The point of contact of the wheel r or any point of the carriage C will therefore always move in a direction making an angle ϕ with the axis of x, whilst it moves in the x-direction through the same distance as the point B on the y-curve—that is to say, it will trace out the integral curve required, and so will any point rigidly connected with the carriage C. A pen P attached to this carriage will therefore draw the integral curve.

As it is convenient to have the integral curve placed directly opposite to the y-curve so that corresponding values of y or Y are drawn on the same line, a pen P′ is fixed to C in a line with the tracer.

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integral calculusintegral domain