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. …

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 …

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 …

Nov 4, 2012 · I'm trying to come up with an equation for determining the intersection points for a straight line through a circle. I've started by substituting the "y" value in the circle equation with …

Mar 11, 2018 · In fact, it’s possible to do better and write down an equation of the plane directly. Every other point (x, y, z) (x, y, z) on the plane also generates a linear equation in the …

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. …

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 ...

The Schrödinger equation describes the evolution of the wave function of a particle (or system).

Jan 27, 2015 · As long as you can write the linear differential equation in the above form, you can tell what g(x) g (x) is, and you will be able to tell whether it is homogenous or not.

Sep 24, 2015 · Note that there are 4 unknowns, so there is no single solution for a,b, and c since you can just multiply the equation by some constant and it stays the same, so you just solve …