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. …

May 28, 2013 · If we want an equation f(x, y) f (x, y) for the line, the domain of f f can only be the shadow of the line on the xy x y plane. But any nice function f f will have as a domain either all …

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 …

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. …

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.

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 ...

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 …

Equation means equality. They are both related to the word equal. If such an equality is true for all values of the variable, it is called an identity, e.g., $\sin^2x+\cos^2x=1$ is true for all x. If …

is called Riccati's equation show that if f is any solution of the equation, then the transformation y = f + 1 v reduces it to a linear equation in v. I am not understanding this, what does f mean? …

Dec 30, 2025 · Staying with the original equation, use the ansatz$$y (x)=z (x)\, e^ {a x^b}$$ and search for $ (a,b)$ which eliminate most of the terms. You should end with a very simple …