Question

(1+x to the power3)dy- x to the power 2y dx=0 if x=1, y=2
​

Answer 1

Answer:

(i) An equation involving derivative (derivatives) of the dependent variable with

respect to independent variable (variables) is called a differential equation.

(ii) A differential equation involving derivatives of the dependent variable with

respect to only one independent variable is called an ordinary differential

equation and a differential equation involving derivatives with respect to more

than one independent variables is called a partial differential equation.

(iii) Order of a differential equation is the order of the highest order derivative

occurring in the differential equation.

(iv) Degree of a differential equation is defined if it is a polynomial equation in its

derivatives.

(v) Degree (when defined) of a differential equation is the highest power (positive

integer only) of the highest order derivative in it.

(vi) A relation between involved variables, which satisfy the given differential

equation is called its solution. The solution which contains as many arbitrary

constants as the order of the differential equat

Step-by-step explanation: