General solution of a differential equation
If the solution of a differential equation of order n contains n arbitrary constants, then it is called the General solution of the differential equation..
Differentiability
>does not exist, then we say that the function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and left hand derivatives a..
Any function that satisfies a differential equation is known as the _..
Any function that satisfies a differential equation is known as the ________ of that differential equation. => Degree or Order or General solution or Particular solution or Linear solution..
Order of a differential Equation:
is the order of the derivative of the highest order, occurring in the differential equation..
First Order Differential Equation
The differential equation in which only the first derivative of the unknown function appears, is called First order differential equation. Example:..
The differential equation in which only the first derivative of the unknown function appears, is called First order differential equation. Example:..Any function that satisfies a differential equation is known as the __..
Any function that satisfies a differential equation is known as the ____ of that differential equation. => General solution or Order or Particular solution or Degree..
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 dif..
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:..Types of a Second Order Differential Equations
Types of a Second Order Differential Equations - Given Integrate both sides, Integrating once agai..
Types of a Second Order Differential Equations - Given Integrate both sides, Integrating once agai.. Result
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