Questions from Calculus


Q: Solve the differential equation. y’ = tet+y,

Solve the differential equation. y’ = tet+y, y(0) = 0

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Q: Solve the differential equation. yy’ + t = 6t2,

Solve the differential equation. yy’ + t = 6t2, y(0) = 7

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Q: Solve the differential equation. y’ = 5 - 8y,

Solve the differential equation. y’ = 5 - 8y, y(0) = 1

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Q: Solve the differential equation. yy’ + t = 6t2,

Solve the differential equation. yy’ + t = 6t2, y(0) = 7

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Q: Answer the question in Exercise 29 by using the differential equation to

Answer the question in Exercise 29 by using the differential equation to determine the sign of f ‘(t). Exercise 29: If y0 > 1, is the solution y = f (t) of the initial-value prob...

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Q: Solve the differential equation. y – 1/2(

Solve the differential equation. y – 1/2(1 + t) y = 1 + t, t ≥ 0

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Q: Find a curve in the xy-plane passing through the origin

Find a curve in the xy-plane passing through the origin and whose slope at the point (x, y) is x + y.

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Q: Let P(t) denote the price in dollars of a

Let P(t) denote the price in dollars of a certain commodity at time t in days. Suppose that the rate of change of P is proportional to the difference D - S of the demand D and supply S at any time t....

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Q: If f (t) is a solution of y = (

If f (t) is a solution of y = (2 - y) e-y, is f (t) increasing or decreasing at some value of t where f (t) = 3?

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Q: Solve the initial-value problem y’ = ey2 (cos

Solve the initial-value problem y’ = ey2 (cos y)(1 - ey-1), y(0) = 1.

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