Chapter 20: Differential Equations Flashcards by Zeeshan Yousuf | Brainscape

Q

How do you find the integrating factor?

A

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Q

Define a general and particular solution for a 1st order equation.

A

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Q

For an auxiliary equation of a 2nd order differential in the following form, what is the general equation?

A

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Q

For an auxiliary equation of a 2nd order differential in the following form, what is the general equation?

A

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Q

For an auxiliary equation of a 2nd order differential in the following form, what is the general equation?

A

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Q

What is the complementary function?

A

For a nonhomogeneous equation (≠0), solving the auxiliary equation gives a complementary function.

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Q

How do you find the general solution for a 2nd order differential equation?

A

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Q

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

A

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Q

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

A

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Q

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

A

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Q

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

A

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Q

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

A

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Q

When the right-hand-side of a 2nd order differential equation is in the following form, what is the form of the particular integral?

A

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Q

What is it called, for a 2nd order differential equation, when you find the values of the constants of the general equation?

A

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Q

What is the equation that satisfies the conditions for a simple harmonic motion equation?

A

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Q

For an object in simple harmonic motion, what is the velocity?

A

Velocity = angular velocity x √(amplitude² - displacement²)

Q

When does the maximum speed occur in simple harmonic motion?

A

Q

Define heavy, critical and light damping.

A

Q

What is velocity equivalent to, in simple harmonic motion, in terms of displacement?

A

Velocity = -(rate of change of displacement)
v = -ẋ