Definition 9:
A first-order differential equation is said to be linear if, in it, the unknown function y and its derivative y' appear with non-negative integral index not greater than one and not as product yy' either. Hence, a first-order linear differential equation is of the form: where p and q are given r..
A first-order differential equation is said to be linear if, in it, the unknown function y and its derivative y' appear with non-negative integral index not greater than one and not as product yy' either. Hence, a first-order linear differential equation is of the form: where p and q are given r..Old definition
The mass of one atom of hydrogen taken as 1 is called the atomic mass uni..
Some Basic Definitions
Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..
Definition 7
A first - order first - degree differential equation is of the form If the function f turns out to be of the form f(x, y) = p(x) q(y) .(2) (i.e., the product of a function of x with a function of y, then the differential equation (1) is said to have the variable x, y separable.) In this case the..
A first - order first - degree differential equation is of the form If the function f turns out to be of the form f(x, y) = p(x) q(y) .(2) (i.e., the product of a function of x with a function of y, then the differential equation (1) is said to have the variable x, y separable.) In this case the..Definition of a Matrix
A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital lette..
Definition of a Matrix
A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital lette..
Definition of ratio
If a and b are two quantities with the same units such that ; then Ratio does not have any unit. The quantities a and b are called terms of the ratio. a' is called antecedent (first term) b' is called consequent (second te..
If a and b are two quantities with the same units such that ; then Ratio does not have any unit. The quantities a and b are called terms of the ratio. a' is called antecedent (first term) b' is called consequent (second te..Alternate Definition:
Difference of two sets A and B, A - B is a set whose elements belong to A but not to B. A - B is called the relative complement of B w.r.t. ..
Definition of cos
- 1 x cosine inverse x is q and write cos - 1 x = q . In particular, For practical purposes, only principal values of cos - 1 x are considered. cos - 1 x is a function of x with domain [-1,1] and range [0, p ]. The graph of cos - 1 x is as shown in the figure below..
- 1 x cosine inverse x is q and write cos - 1 x = q . In particular, For practical purposes, only principal values of cos - 1 x are considered. cos - 1 x is a function of x with domain [-1,1] and range [0, p ]. The graph of cos - 1 x is as shown in the figure below..See what our Users say :
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