Questions from General Calculus


Q: Solve the differential equation by making xy' = y + xey/

Solve the differential equation by making xy' = y + xey/x the change of variable v = y/x.

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Q: Solve the differential equation. (x2 + 1) y'

Solve the differential equation. (x2 + 1) y' = xy

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Q: Solve the differential equation. (y2 + xy2) y'

Solve the differential equation. (y2 + xy2) y' = 1

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Q: Let limn→∞ n√|an| = L The Root

Let limn→∞ n√|an| = L The Root Test says the following: (i). If L (ii). If l > 1 (or L = ∞), then ∑an is di...

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Q: Solve the differential equation. dy/dt = tet/

Solve the differential equation. dy/dt = tet/y √1 + y2

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Q: Solve the differential equation. dy/dx = ey sin2θ

Solve the differential equation. dy/dx = ey sin2θ/y sec θ

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Q: Solve the differential equation. du/dt = 2 +

Solve the differential equation. du/dt = 2 + 2u + t + tu

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Q: A sample of tritium-3 decayed to 94.5%

A sample of tritium-3 decayed to 94.5% of its original amount after a year. (a). What is the half-life of tritium-3? (b). How long would it take the sample to decay to 20% of its original amount?

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Q: Scientists can determine the age of ancient objects by the method of

Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14...

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Q: A bacteria culture initially contains 100 cells and grows at a rate

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a). Find an expression for the number of bacteria afte...

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