Approximations by Differentials
Approximations by Differentials - 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 ..
Approximations by Differentials - 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 ..Logarithmic Differentiation
Logarithmic Differentiation - 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 = f(..
Logarithmic Differentiation - 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 = f(..Logarithmic Differentiation 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). Differentiating with respect to x, we get, ..
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). Differentiating with respect to x, we get, ..Formation of a Differential Equation
The equation y = mx has one arbitrary constant and its differential equation is of order 1. The equation y = mx + c has two arbitrary constants and its differential equation is of order ..
Solution of a 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 solution of the differential equatio..
Product Rule for Differentiation
Product Rule for Differentiation - Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of ..
Product Rule for Differentiation - Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of ..Differentiation of Parametric Functions
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, then t is called the paramet..
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, then t is called the paramet..Product Rule for Differentiation
Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of x. or (u.v)' = u.v' + v..
Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of x. or (u.v)' = u.v' + v..Homogeneous Differential Equation
A differential equation is said to be a homogeneous differential equation. If it is of the form where f and g are homogenous functions, in x and y of the same degre..
A differential equation is said to be a homogeneous differential equation. If it is of the form where f and g are homogenous functions, in x and y of the same degre..Linear Differential Equation
A differential equation is said to be linear, if the unknown function and its derivatives occur only in the first degree and are not multiplied together. Example: Note that the degree of a linear differential equation is 1, but a differential equation whose degree ..
A differential equation is said to be linear, if the unknown function and its derivatives occur only in the first degree and are not multiplied together. Example: Note that the degree of a linear differential equation is 1, but a differential equation whose degree ..See what our Users say :
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