The power of higher ordered derivative when all the derivatives are made free from negative and / or fractional indices if any is called ………….. of the differential equation.

The degree of a differential equation is the power of higher ordered derivative when all the derivatives are made free form negative and / or fractional indices if any.

Order of highest derivative occurring in the differential equation is called the …………… of the differential equation.

Order of highest derivative occurring in the differential equation is called the degree of the differential equation

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as Assertion (A): The degree of the differential equation given by (dy)/(dx)=(x^4-y^4)/((x^2+y^2)xy) is 1. Reason (R): The degree of a differential equation is the degree of the highest order derivative when differential coefficients are free from radicals and fraction The given differential equation has first order derivative which is free from radical and fraction with power = 1, thus it has a degree of 1.

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as Assertion (A): The order of the differential equation given by (dy)/(dx)+4y=sinx is 1. Reason (R): Since the order of a differential equation is defined as the order of the highest derivative occurring in the differential equation, i.e., for nth derivative (d^ny)/(dx^n) if n = 1.then it's order = 1. Given differential equation contains only (dy)/(dx) derivative with variables and constants.

Correct statement is/are (A) The differential equation of all conics whose axes coincide with the axes of co-ordinates is of order 2 (B) The differential equation of all staright lines which are at fixed distance p from origin is of degree 2. (C) The differential equation of all parabola each which has a latus rectum 4a & whose axes are parallel to y-axis is of order 2. D) The differential equation of all parabolas of given vertex, is of order 3.

Which of the following statements on ordinary differential equations is/are true ? (i) The number of arbitrary constants is same as the degree of the differential equation. (ii) A linear differential equation can contain products of the dependent variable and its derivatives. (iii) A particular integral cannot contains arbitrary constants. (iv) By putting v=(y)/(x) any homogeneous first order differential equation transforms to variable separable form.

The cells derived from meristems differentiate and regain the capacity of divide by a phenomenon called

The order of reaction is an experimentally determined quanity. It may be zero, poistive, negative, or fractional. The kinetic equation of nth order reaction is k xx t = (1)/((n-1))[(1)/((a-x)^(n-1)) - (1)/(a^(n-1))] …(i) Half life of nth order reaction depends on the initial concentration according to the following relation: t_(1//2) prop (1)/(a^(n-1)) ...(ii) The unit of the rate constant varies with the order but general relation for the unit of nth order reaction is Units of k = [(1)/(Conc)]^(n-1) xx "Time"^(-1) ...(iii) The differential rate law for nth order reaction may be given as: (dx)/(dt) = k[A]^(n) ...(iv) where A denotes the reactant. In a chemical reaction A rarr B , it is found that the rate of the reaction doubles when the concentration of A is increased four times. The order of the reaction with respect to A is:

The order of reaction is an experimentally determined quanity. It may be zero, poistive, negative, or fractional. The kinetic equation of nth order reaction is k xx t = (1)/((n-1))[(1)/((a-x)^(n-1)) - (1)/(a^(n-1))] …(i) Half life of nth order reaction depends on the initial concentration according to the following relation: t_(1//2) prop (1)/(a^(n-1)) ...(ii) The unit of the rate constant varies with the order but general relation for the unit of nth order reaction is Units of k = [(1)/(Conc)]^(n-1) xx "Time"^(-1) ...(iii) The differential rate law for nth order reaction may be given as: (dX)/(dt) = k[A]^(n) ...(iv) where A denotes the reactant. The half life for a zero order reaction equals