particular solution in differential equation

A solution obtained, by assigning particular values to the arbitrary constants in the general solution of the differential equation, is called its particular solution..

Which of the following is the particular solution for the given differential equation d y d x = x ² y such that y = 3 when x = 0? => y 2 = ( 2 3 ) x 3 + 9 or y 2 = - 2 3 x ³ + 9 or y 2 = x 3 + 9 or y 2 = 2 3 x ³ - 18..

Which of the following is the particular solution for the given differential equation d y d x ( x ³ + 28) = x ² y such that y 2 = 6 when x = - 3? => y ² = ( 2 ln | x ³ - 3 8 | ) 3 + 7 or y ² = ( 2 ln | x ³ + 3 8 | ) 3 + 6 or y &s..

Which of the following is the particular solution for the given differential equation (5 - 2 x ) y = d y d x , given that y = 2 when x = 0? => y = 4 e 5 x - x 2 or y = - 2 e 5 x + x 2 or | y | = 2 e 5 x - x 2 or y = e..

Any function that satisfies a differential equation is known as the ____ of that differential equation. => General solution or Order or Particular solution or Degree..

The highest order derivative of the unknown function occuring in the differential equation is the ________ of the differential equation => Power or Order or Degree or Particular solution or General solution..

Differentiability - We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f (a) and f (x) respectively. The restriction in both the cases is that 'the limit must exist'. IfWe have already defin..

If the solution of a differential equation of order n contains n arbitrary constants, then it is called the General solution of the differential equation..

A functional relation between x and y which satisfies the given differential equation. Solution of a differential equation by the method of variables separable..

Aim - To extract a compound that is present in very small amounts in an aqueous solution with the help of an organic liquid in which that compound is highly solubl..