The answer will depend on the nature of the differential equation.
It means that some equations can have more than one solution, and that you are supposed to find all of them. For example, equations with polynomials tend to have more than once solution; thus, x squared = 25 is satisfied both for x = 5, and for x = -5.
That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope
The word canonical means "by a general law, rule, principle or criterion". When the Hamiltonian operator is applied to the (average momentum) wave function it gives quantized values. In this sense the Hamilton equations gives the Schrodinger equation discreet values by a general law.
The answer depends on the nature of the equation. Mathematicians are still not able to solve the Navier-Stokes equations, for example. In fact there is a million dollar (US) prize if you can figure out a general solution. The equations are not simply mathematical contrivances to create a challenge: they deal with fluid flow and are used for studying the flow of liquids inside a pipe, or air-flow over a plane's wings and so on.
Parametric equations not only give a more general solution to a problem, but they also display the relationship between the parameters, thus providing a better understanding of the what the solution suggests.
It means that some equations can have more than one solution, and that you are supposed to find all of them. For example, equations with polynomials tend to have more than once solution; thus, x squared = 25 is satisfied both for x = 5, and for x = -5.
The general properties for basic solutions are homogeneous.
The number of solutions for an equation can be determined by analyzing the degree of the equation and its graphical representation. For a linear equation, there is either one solution (if the lines intersect) or no solution (if the lines are parallel). Quadratic equations can have two solutions, one solution, or no real solution, depending on the discriminant. Higher degree equations can have multiple solutions or no solutions depending on the nature of the equation.
That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope
One can get some useful general information about e-commerce solutions from Wikipedia. If one is looking to buy e-commerce software then one could get information about e-commerce solutions from the website called CS-Cart, for example.
differentiate general reference sources and special reference sources with example
Any ionized chemical will cause water to become electrically conductive. In general, salts are the best example.
Yes. In the limit where the velocity difference between two observers gets ever closer to zero, the equations of spacial relativity reduce to the Newtonian equations. Indeed, if this were not true, then special relativity would be *wrong*. Similarly, general relativity gives the same answers as Newtonian gravity for the cases in which Newtonian gravity applies.
In general, a system of non-linear equations cannot be solved by substitutions.
Robert Carmichael has written: 'On the general theory of the integration of non-linear partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations
The word canonical means "by a general law, rule, principle or criterion". When the Hamiltonian operator is applied to the (average momentum) wave function it gives quantized values. In this sense the Hamilton equations gives the Schrodinger equation discreet values by a general law.
That depends. What are the equations?