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Linear Higher Order Differential Equation | Distinct Roots | Repeated Roots | Complex Roots

Автор: Sabahat Qadeer

Загружено: 2024-06-14

Просмотров: 237

Описание:

Ordinary Differential Equation (Full Course):    • Differential Equations  

Reference Videos:
▶️Homogeneous Differential Equation With Constant Coefficients | Higher Order | Concept | Examples
   • Homogeneous Differential Equation With Con...  

▶️Homogeneous Differential Equation With Constant Coefficients | Repeated Real Roots
   • Homogeneous Differential Equation With Con...  

▶️Homogeneous Differential Equation With Constant Coefficients | Conjugate Complex Roots
   • Homogeneous Differential Equation With Con...  

⏩Comment Below If This Video Helped You 💯
Like 👍 & Share With Your buddies

📚 Important Course Playlists
▶️ Partial Differential Equations (Full Course):
   • Partial Differential Equations (Full Course)  

▶️ Techniques of Integration:    • Techniques of Integration  

▶️12th class Mathematics Past Papers
   • 12th class Mathematics Past Papers  

▶️ 11th Class Math Past Papers (Complete Solution):
   • 11th Class Math Past Papers (Complete Solu...  

▶️ Definite Integrals:
   • Definite Integrals  

Examples Covered:
4y’’+y’=0
y’’-36y=0
y’’+9y=0
d^2y/dx^2 -10 dy/dx +25y=0
y’’’-y=0
y’’’-5y’’+3y’+9y=0
y’’’+3y’’-4y’-12y=0
y’’’-6y’’+12y’-8y=0
d^4y/dx^4+d^3y/dx^3+d^2y/dx^2=0
16 d^4y/dx^4+24d^2y/dx^2 +9y=0
d^5y/dx^5+5d^4y/dx^4-2d^3y/dx^3-10d^2y/dx^2+dy/dx+5y=0

Example will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is general solution of homogeneous linear differential equation with constant coefficients
2. Example Of homogeneous linear differential equation with constant coefficients
3. Concept Of homogeneous linear differential equation with constant coefficients
4. How to find general solution when roots are distinct real, repeated real and complex conjugate.
5. This is helpful For CSIR NET, IIT-JAM, GATE Exams.
6. This is Part Of the Differential Equation.

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#reduction of order
#OrdinaryDifferentialEquations #ODEs#ODEExamples #ODEIdentification #ODEImportance #ODEHistory #ODEInventor #ODEExplanation #ODEApplications #ODESolvingMethods #ODEInnovators #ODELimitations #ODETips #ODEResources #higherorderdifferentialequations #modellingwithdifferentialequations #differentialequations #lineardifferentialequation #higherorderdifferentialequationswithconstantcofficients #exercise4.3


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Linear Higher Order Differential Equation | Distinct Roots | Repeated Roots | Complex Roots

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