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Definition 4:
The functional relation-ship between the independent variable and the dependent variable (such as y = f(x)) which satisfies the given differential equaion is called the solution of the differential equatio..
The total cost of tickets is a function of number of tickets purchased..
The total cost of tickets is a function of number of tickets purchased. Which of the statements is true? => The total cost of tickets is the dependent variable. or The total cost of tickets is the independent variable. or Insufficient data. or There is no relation betw..
Differential Equations
Differential Equation: A differential equation is a relation between the independent, dependent variables and their differential coefficient..
Summary
1. An equation involving independent variables dependent variable and their derivatives is called a differential equation. 2. A differential equation which involves only one independent variable is called an ordinary differential equatio..
Introduction
The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer sc..
The radius of a circle is r. If the area of the circle is given as A =..
The radius of a circle is r . If the area of the circle is given as A = π r 2 , then which of the following is true? => r is a dependent variable or A is an independent variable or A is a dependent variable or π is a dependent v..
The side of a square is a. If the perimeter of the square is given as ..
The side of a square is a . If the perimeter of the square is given as P = 4 a , then which of the following is true? => a is a dependent variable or P is an independent variable or 4 is a dependent variable or a is an independent variable..
Differentiation
The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science , economics, medicine and compute..
Definition 2 (Order of Differential Equation)
The order of differential equation is defined to be the order of the highest order derivative of the dependent variable occurring in the differential equation. Example:..
The order of differential equation is defined to be the order of the highest order derivative of the dependent variable occurring in the differential equation. Example:..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..
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..See what our Users say :
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