Podcast
Questions and Answers
What type of problems often arise in physics involving second order ordinary differential equations?
What type of problems often arise in physics involving second order ordinary differential equations?
- Initial value problems
- Eigenvalue problems
- Boundary value problems (correct)
- Steady-state problems
What do the solutions of differential equations give, which can be used to represent functions in generalized Fourier series expansions?
What do the solutions of differential equations give, which can be used to represent functions in generalized Fourier series expansions?
- Orthogonal sets of functions (correct)
- Logarithmic functions
- Sine and cosine functions
- Exponential growth functions
What are conditions called when the value of the dependent variable or its derivative is specified at two different points?
What are conditions called when the value of the dependent variable or its derivative is specified at two different points?
- Initial conditions
- Limiting conditions
- Boundary conditions (correct)
- Asymptotic conditions
What kind of equations lead to a three dimensional boundary value problem when the time dependence is separated out?
What kind of equations lead to a three dimensional boundary value problem when the time dependence is separated out?
What do trigonometric functions and special functions serve as for differential equations?
What do trigonometric functions and special functions serve as for differential equations?
What do trigonometric functions and special functions provide as solutions for differential equations?
What do trigonometric functions and special functions provide as solutions for differential equations?
In physics, what type of problems often arise involving second order ordinary differential equations?
In physics, what type of problems often arise involving second order ordinary differential equations?
What does separating out the time dependence from the wave equation and the heat equation lead to?
What does separating out the time dependence from the wave equation and the heat equation lead to?
What do physical applications often lead to in terms of the dependent variable or its derivative at two different points?
What do physical applications often lead to in terms of the dependent variable or its derivative at two different points?
What do the solutions of differential equations provide for representing functions in generalized Fourier series expansions?
What do the solutions of differential equations provide for representing functions in generalized Fourier series expansions?
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