Higher Order Linear Ordinary Differential Equations

# Higher Order Linear Ordinary Differential Equations Video Lecture | Mathematical Methods - Physics

## Mathematical Methods

78 videos|18 docs|24 tests

## FAQs on Higher Order Linear Ordinary Differential Equations Video Lecture - Mathematical Methods - Physics

 1. What are higher order linear ordinary differential equations in physics?
Ans. Higher order linear ordinary differential equations in physics are equations that involve derivatives of an unknown function with respect to a single independent variable, where the highest order of the derivative is greater than one and the equation is linear in the unknown function and its derivatives.
 2. How are higher order linear ordinary differential equations used in physics?
Ans. Higher order linear ordinary differential equations are used in physics to describe various physical phenomena such as motion, heat transfer, wave propagation, and electrical circuits. They help in modeling and predicting the behavior of systems in the physical world.
 3. What is the significance of solving higher order linear ordinary differential equations in physics?
Ans. Solving higher order linear ordinary differential equations in physics allows researchers and scientists to understand the underlying principles governing the behavior of physical systems. It helps in making predictions, designing experiments, and developing technologies based on the laws of physics.
 4. How can higher order linear ordinary differential equations be solved in physics?
Ans. Higher order linear ordinary differential equations in physics can be solved using various techniques such as separation of variables, substitution, integrating factors, and series solutions. The choice of method depends on the specific form of the differential equation and the boundary conditions.
 5. What are some real-world applications of higher order linear ordinary differential equations in physics?
Ans. Higher order linear ordinary differential equations find applications in various fields of physics such as mechanics, electromagnetism, thermodynamics, and quantum mechanics. They are used to model and analyze systems like oscillating springs, electrical circuits, heat conduction, and wave propagation in different mediums.

## Mathematical Methods

78 videos|18 docs|24 tests

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