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  1. What is the difference between equation and formula?

    An equation is meant to be solved, that is, there are some unknowns. A formula is meant to be evaluated, that is, you replace all variables in it with values and get the value of the formula. Your …

  2. What is the equation for a 3D line? - Mathematics Stack Exchange

    May 28, 2013 · I love your answer for a line equation in the form of z = f (x, y)... Unfortunately calculating square roots can be impractical from the calculational standpoint and hence I really doubt any …

  3. simple geometry question- equation of cylinder

    All points on it have x=0 and y=0. Clearly it is a line with any z-allowed. You could write the equation of the axis as x2 +y2 = 0 x 2 + y 2 = 0, because in the reals the only solution to this equation is x = 0 x = …

  4. What exactly is an equation? - Mathematics Stack Exchange

    Apr 15, 2018 · the equation to simpler equation (s) and end up with an equation that can be solved by inspection. In all these cases the equality tells you two things are really the same. What you do with …

  5. geometry - Get the equation of a circle when given 3 points ...

    Mar 7, 2025 · Get the equation of a circle through the points $(1,1), (2,4), (5,3) $. I can solve this by simply drawing it, but is there a way of solving it (easily) without having to draw?

  6. Equation of a rectangle - Mathematics Stack Exchange

    Oct 2, 2011 · I need to graph a rectangle on the Cartesian coordinate system. Is there an equation for a rectangle? I can't find it anywhere.

  7. Transformations of the circle equation - Mathematics Stack Exchange

    Dec 21, 2023 · I know to translate the circle equation we just need to change the values in the brackets of the general circle equation (x −x1)2 + (y −y1)2 =r2 (x x 1) 2 + (y y 1) 2 = r 2 , and in order to dilate …

  8. 贝塞尔函数及其性质 - 知乎

    贝塞尔方程 (the Bessel differential equation)在物理学诸多领域都有非常广泛的应用,如柱坐标下波的传播,薛定谔方程的解,薄膜振动,热传导等等。下面不加证明地总结贝塞尔函数的一些性质,相关证 …

  9. How to solve the Riccati's differential equation

    Aug 13, 2013 · I found this question in a differential equation textbook as a question The equation $$ \frac {dy} {dx} =A (x)y^2 + B (x)y +C (x) $$ is called Riccati's equation

  10. intuition - How Bernoulli differential equation arise naturally ...

    A Bernoulli differential equation is a non-linear differential equation of the form $$ \\frac{dy}{dx} + P(x)y = Q(x)y^n. $$ I understand this is special; Because its exact solution is known though ...