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Questions and Answers
Which of the following is an example of a 2nd order non-homogeneous ODE?
Which of the following is an example of a 2nd order non-homogeneous ODE?
- 4x dy/dx + 2y = sin(x)
- dy/dx + sin(y) = x
- x^2y''' + 10y' = 1/(x^2 + 1) (correct)
- arctan(x) d^2y/dx^2 + ex dy/dx = 0
What is the definition of a solution of an nth order ODE?
What is the definition of a solution of an nth order ODE?
- A function (x) that satisfies F(x, y, y', y'',.,y^(n-1)) = 0
- A function (x) that satisfies F(x, y, y', y'',.,y^(n)) = 0
- A function (x) that satisfies F(x, (x), 0, 0,., (n-1)) = 0
- A function (x) that satisfies F(x, (x), 0, 0,., (n)) = 0 (correct)
What is a general solution of an ODE?
What is a general solution of an ODE?
- A solution obtained by giving values to n arbitrary constants
- A solution containing n arbitrary constants (correct)
- A solution without any arbitrary constants
- A solution satisfying all initial conditions
Which statement best describes an initial value problem (IVP)?
Which statement best describes an initial value problem (IVP)?
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Which function is a solution of the differential equation dy/dx = y?
Which function is a solution of the differential equation dy/dx = y?
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