differential equation general solution

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. => 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..

(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..