## Applications of Differential Equations

### Exercise C

(continued from last page...)

Next, try solving this one. Assume the following parameters:

• inductance of 5/3 henrys
• resistance of 10 ohms
• capacitance of 1/30 farads

With initial conditions:

• I(0) = 0 amperes
• q(0) = 0 coulomb

The voltage source is now a constant 300 volts:

• E(t) = 300 volts

Don't forget to use:

I'(0) = (E(0) - R I(0) - q(0)/C) / L

again to "fix" your initial conditions.

Use sol4 as the solution variable this time, plot on the interval 0 ≤ t ≤ 4, and make the plot blue.

Let's go see what you should have gotten...

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ODE Laboratories: A Sabbatical Project by Christopher A. Barker

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