find a solution y f x to the differential equation

Solution of a Differential Equation: The functional relation-ship between the independent variable and the dependent variable (such as y = f(x)) which satisfies the given differential equation is called the solutionh..

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 function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and left hand derivatives a..

Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d x..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = ..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differe..

The slope field of a certain differential equation is shown. Which of the following is the solution to that differential equation? => y = e - x + C or y = ln x + C or y = - cos x + C or ..

The slope field of a certain differential equation is shown. Which of the following is the solution to that differential equation? => y = - 1 x + C or y = x 2 + C or y = ( x 2 + C ) 1 2 or ..

If we replace y by , we have y'+ y \ f (x) satisfies the equation y' + y = 2 Moreover, ..

Differentiation of Parametric Functions - If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, thenIf x=f(t) and y=g(t), where x and y are dependant on the independent variable t, t..