linear dependence and independence

Solution of a Differential Equation: The functional relation-ship between the independent variable and the dependent variable (such as y = f(x)) which satisfies the given differential equation is called the solution of the differential equatio..

Dependent/independent events, conditional probability Mean, median, mode, range Representations of data Sampling technique..

Differentiation of Parametric Functions - If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then t is called the paramet..

State variables and functions may posses either extensive or intensive properties. Extensive properties are those, whose values depend on the quantity of matter contained in any system or size of the system. Typical properties are mass, volume, area, energy, number of moles, enthalpy, en..

According to wave mechanics, orbitals are described by wave functions known as orbital wave functions. These orbital wave functions can be represented as a product of two functions: (i) Radial wave function and (ii) Angular wave function. The radial wave function depends upon the distance..

The side of a square is a . If the perimeter of the square is given as P = 4 a , then which of the following is true? => a is a dependent variable or P is an independent variable or 4 is a dependent variable or a is an independent variable..

A differential equation is said to be linear when the dependent variable and its derivatives occur in the first degree and are not multiplied together. When f 1 to f n as the functions of x, in general linear differential equations of order ..

Each circular permutation corresponds to n linear permutations depending on where we start. Since there are exactly n! linear permutations, there are exactly permutations. Hence, the number of circular permutations is the same as (n-1)..

A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..

Graphs are visual representations of the relationship existing between two variables, one of which is an independent variable and other is a dependent variable. One can calculate many physical quantities by calculating the slope of the graphs. Any inaccuracy in experimental dat..