homogenous

A system is called homogeneous if physical properties and chemical composition are identical throughout the system. A pure gas or consistent mixture of gases e.g., an oxygen cylinder, or a pure liquid or solid in a container are examples of homogeneous system..

Many reactions in solution are catalyzed by organometallic compounds or transition metal complexes. Example: Wilkinson's catalyst (Ph 3 P) 3 RhCl - Catalyst in hydrogenation of alkene..

Principle of Homogeneity of Dimensions - It states that if the dimensions of each term on both the sides of equation are same, then the physical quantity will be corre..

Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system. This solution is called the trivial so..

A combined equation of the two lines through the origin is a homogenous equation of second degree. - Let the two lines pass through the origin be y = m 1 x and y = m 2 x. i.e. y - m 1 x = 0 and y - m 2 x = 0 Their combined equation is This is clearly a homogenous equation of the..

It states that if the dimensions of each term on both the sides of equation are same, then the physical quantity will be correc..

Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..

Let the two lines pass through the origin be y = m 1 x and y = m 2 x. i.e. y - m 1 x = 0 and y - m 2 x = 0 Their combined equation is This is clearly a homogenous equation of the second degree in x and y. … (i) Divide equation (1) by x 2 ,..

Any homogenous equation of the n t h degree in x and y is This is an n th degree equation in and so has n roots. Let the roots be m 1 , m 2 , ......... m n so that the given equation reduces to ..

Solve the homogeneous differential equation x d y d x = y + x cos 2 ( y x ). => y = x ln | C 1 x | or y = x tan -1 (ln | C 1 x |) or x = y tan -1 (ln |C 1 x |) or y = 1 x tan -1 (ln | C 1 x |) or y = tan -1 (ln | C 1 x |)..