Questions from General Calculus


Q: Solve the initial-value problem. /

Solve the initial-value problem.

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Q: Solve the differential equation and use a calculator to graph several members

Solve the differential equation and use a calculator to graph several members of the family of solutions. How does the solution curve change as C varies?

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Q: Solve the differential equation and use a calculator to graph several members

Solve the differential equation and use a calculator to graph several members of the family of solutions. How does the solution curve change as C varies?

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Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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Q: A Bernoulli differential equation (named after James Bernoulli) is of

A Bernoulli differential equation (named after James Bernoulli) is of the form Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, show that the substitution u = y1-...

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Q: Use the method of Exercise 23 to solve the differential equation.

Use the method of Exercise 23 to solve the differential equation. Data from Exercise 23: A Bernoulli differential equation (named after James Bernoulli) is of the form Observe that, if n = 0 or 1, t...

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Q: Use the method of Exercise 23 to solve the differential equation.

Use the method of Exercise 23 to solve the differential equation. Data from Exercise 23: A Bernoulli differential equation (named after James Bernoulli) is of the form Observe that, if n = 0 or 1, t...

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Q: Solve the second-order equation xyn + 2y’ = 12x2 by

Solve the second-order equation xyn + 2y’ = 12x2 by making the substitution /

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Q: In the circuit, a battery supplies a constant voltage of 40

In the circuit, a battery supplies a constant voltage of 40 V, the inductance is 2 H, the resistance is 10 V, and I(0) = 0. (a) Find I(t). (b) Find the current after 0.1 seconds.

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Q: In the circuit shown in Figure 4, a generator supplies a

In the circuit shown in Figure 4, a generator supplies a voltage of E(t) = 40 sin 50t volts the inductance is 1 H, the resistance is 20 V, and I(0) = 1 A. (a) Find I(t). (b) Find the current after 0.1...

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