Questions from College Mathematics


Q: Find the general or particular solution, as indicated, for each

Find the general or particular solution, as indicated, for each differential equation.

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Q: Find the general or particular solution, as indicated, for each

Find the general or particular solution, as indicated, for each differential equation.

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Q: does the given differential equation model unlimited growth, exponential decay,

does the given differential equation model unlimited growth, exponential decay, limited growth, or logistic growth? y(= -0.0152y

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Q: does the given differential equation model unlimited growth, exponential decay,

does the given differential equation model unlimited growth, exponential decay, limited growth, or logistic growth? y(= 10,000 - y

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Q: Refer to the following slope fields: / Which slope

Refer to the following slope fields: Which slope field is associated with the differential equation dy/dx = y + 1? Briefly justify your answer.

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Q: Refer to the following slope fields: / Show that

Refer to the following slope fields: Show that y = Ce x- 1 is a solution of the differential equation dy/dx = y + 1 for any real number C. Find the particular solution that passes through (0, 0).

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Q: Use the limiting matrix P found for each transition matrix P in

Use the limiting matrix P found for each transition matrix P in Problems 29–34 to determine the long-run behavior of the successive state matrices for the indicated initial-state mat...

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Q: Refer to the following slope fields: / Graph the

Refer to the following slope fields: Graph the particular solution found in Problem 54 in the appropriate Figure A or B (or a copy).

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Q: Refer to the following slope fields: / Use a

Refer to the following slope fields: Use a graphing calculator to graph y = Cex - 1 for C = -2, -1, 1, and 2, for -5 ≤ x ≤ 5, -5 ≤ y â...

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Q: Show that y = √x2 + C is a solution of

Show that y = √x2 + C is a solution of the differential equation dy/dx = x/y for any real number C. Find the particular solution that passes through (-6, 7).

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