To prove: That L − 1 { C C s + G ( 1 − e − x R C s + R G ) } = e − G t C e r f ( x 2 R C t ) .

Question

- Suppose that you have the differential equation: dy = (y - 2) (y+3) dx a. What are the equilibrium solutions for the differential equation? b. Where is the differential equation increasing or decreasing? Show how you know. Showing them on the drawing is not enough. c. Where are the changes in concavity for the differential equation? Show how you know. Showing them on the drawing is not enough. d. Consider the slope field for the differential equation. Draw solution curves given the following initial conditions: i. y(0) = -5 ii. y(0) = -1 iii. y(0) = 2

Answer 1

Question

Chapter 14.1, Problem 7E

To determine

To prove: That L−1{CCs+G(1−e−xRCs+RG)}=e−GtCerf(x2RCt).

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