the differentiation of

The degree of a differential equation is the highest power of the highest order derivative after making the equation free from radicals and fractional indices as far as the derivatives are concerned. In other words, the degree of a differential equation whose terms are polynomi..

Given Integrate both sides, Integrating once again,..

In this section we explained with examples how to form Differential Equation. Suppose a family of curves depending on one constant is given by F 1 : f (x, y, a)= 0 .(1) where a R is the parameter Differentiating (1) with respect to x, we have g (x, y, y', a) = 0 .(2) Now eli..

Identify the differential equation whose slope field is represented by the graph. => d y d x = 1 x or d y d x = y or d y d x = x or d y d x = x - y or d y d x = x + y..

The order of the highest order derivative of the unknown function occurring in the differential equation is the _______ of the differential equation. => Order or Degree or Particular solution or None of the above..

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..

A first-order first-degree differential equation if of the formA first-order first-degree differential equation if of the form The equation (1) can be rewritten as .(2) where So, The fact that, D y - f(x, y) D x 0 as D x 0 is expressed by writing dy = f(x,y)dx ....(3) is an alte..

Which of the following is correct for a function that is differentiable at a point x = 3 ? => left hand side derivative = right hand side derivative at x = 3 or left hand side derivative may not be equal to the right hand side derivative at x = 3 or f (3) does not exist or the function is..

Differentiate the equation 5 x 2 - 11 x y + 3 y 2 = 3 with respect to x using implicit differentiation. => d y d x = 1 0 x 1 1 x - 6 y or d y d x = ( 1 0 x - 1 1 y ) ( 1 1 x - 6 y ) or d y d x = ( 1 1 y - 1 0 x ) ( 1 1 x + 6 y ) or d y d x = ( 1..

The graph of a continuous, twice differentiable function is given. Which one of the following can be the graph of f ′ ( x )? => Graph A or Graph B or Graph C or Graph D..