general solution of a differential equation

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..

Write the general solution of the differential equation y ′ - 7 y = 1 - 7 x . => y = x + C e -7 x or x = y + C e -7 x or y = x + C e 7 x or x = y + C e 7 x..

What is the general solution of the differential equation y ′ + 3 x + 4 8 y = 0? => ( x + 48) 2 y = C or ( y + 48) 2 x = C or ( x + 48) 3 y = C or ( y + 48) 3 x = C..

What is the general solution of the differential equation d y d x = (30 x 5 - 54 x 8 ) y ? => y = C e 30 x 6 - 54 x 9 or y = C e 5 x 6 - 6 x 9 or y = C e 150 x 4 - 432 x 7 ..

Which of the following is the general solution for the given differential equation d y d x = y 2 e x ? => y = - 1 e x + C or y 3 = - 2 e x + C or y = - 1 e x + C or y = 1 e x + C..

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

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'. If does not exist, then we say that the..

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 defined the derivative of a functio..

(i) sin q = 0 (ii) tan q = 0 (iii) cos q = 0 (iv) cot q = ..

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