Capsule Calculus by Ira Ritow

Author:Ira Ritow [Ritow, Ira]
Language: eng
Format: epub
ISBN: 9780486174518
Publisher: INscribe Digital
Published: 2012-10-06T04:00:00+00:00

from which

4DC = −C

and

therefore

(77)

is the solution of the complementary equation.

To evaluate C in Equation 77 requires applying the initial conditions to the complete solution. To finish the job of solving for V2, Equations 75 and 77 are summed to yield:

(78)

The initial conditions are that V2 = 0 at t = 0; therefore at t = 0 Equation 78 becomes:

V2 = 0 = 0 −8 + Ce0 = −8 + C

or

0 = C− 8 and C = 8

since e raised to the zero power is 1.

The complete solution is therefore determined by substituting 8 for C in Equation 78 to give:

V2 = 2t −8 + 8e−t/4

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