Maths 1

Geometrical Applications of Differential Equation

Geometrical Applications of Differential Equation Geometrical Applications of Differential Equation: We also use differential equations for finding the family of curves for which some conditions involving the derivatives are given. For this we proceed in the following way Equation of the tangent at a point (x, y) to the curve y = f(x) is given Read more about Geometrical Applications of Differential Equation[…]

Maths 1

Differentiation of Determinants

Differentiation of Determinants To differentiation a determinant, we differentiate one row (or column) at a time, keeping other unchanged. For example, if . Differentiation on both sides, . (or) , Similar results hold for the differentiation of determinants of higher order. Example: If , then prove that f’(x) = 3x² + 2x (a² + b² Read more about Differentiation of Determinants[…]

Maths 1

Functional Equations

Functional Equations Functional equation is any equation that specifies a function in implicit form. Often, the equation relates the value of a function (or functions) at some point with its values at other points. For instance, the properties of functions can be determined by considering the types of functional equations the satisfy. Functional equations satisfied Read more about Functional Equations[…]