If A is a real 2×2 matrix and has eigenvalues λ, μ that are purely imaginary, then solution curves x(t) of x’ = Ax are always circles.
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If cos c = x, then c must be the quantity arccos(x).
If cos c = x, then c must be the quantity arccos(x).
The quasi-frequency of an underdamped, free harmonic oscilla…
The quasi-frequency of an underdamped, free harmonic oscillator is:
Match mathematically corresponding quantities in the spring-…
Match mathematically corresponding quantities in the spring-mass system with position y(t) as the unknown, and the electrical RLC circuit with current I(t) as the unknown.
The oscillations of an undamped, free harmonic oscillator wi…
The oscillations of an undamped, free harmonic oscillator will continue at constant amplitude and frequency forever.
The Laplace transform of a linear combination of functions i…
The Laplace transform of a linear combination of functions is the linear combination of the Laplace transforms of the individual functions.
Suppose you have two planets: Planet 1 has mass M and sidere…
Suppose you have two planets: Planet 1 has mass M and sidereal day length T. Planet 2 has mass 4M and sidereal day length T/2. How do the radii of their stationary orbits compare?
True or False? (y’+t)’ = t is a first-order differential equ…
True or False? (y’+t)’ = t is a first-order differential equation.
A reaction needs to be refluxed at 65 oC, a good choice for…
A reaction needs to be refluxed at 65 oC, a good choice for this endeavor is
The Nineteenth Amendment granting women the right to vote wa…
The Nineteenth Amendment granting women the right to vote was embraced by many progressives because…