{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MAE 182 Sample Final Exam

# MAE 182 Sample Final Exam - Problem 1(5 5 10 Consider the...

This preview shows pages 1–2. Sign up to view the full content.

Problem 1 (5+5+10) Consider the first order differential equation (DE) ( ) 0 dy ax by bx cy dx where , , a b c are constants. a. Is the above equation linear or nonlinear? Explain your answer. b. Is there an integrating factor ( ) x of the DE? If so, find ( ) x . c. Solve the differential equation. Problem 2 (5+5+15) For the electric, series circuit shown, a. find the governing differential equation for the charge ( ) q t at time t in the circuit in terms of R , C , L and V ( t ) b. Is the solution of the above differential equation stable or unstable for R, C, L > 0? Recall that a solution is unstable if it becomes unbounded as time t increases. Describe the steady state behavior of the current I ( t ) for R, C, L > 0 and ) cos( ) ( t te t V t volts. c. The circuit above initially starts with no current flowing, and no charge across the capacitor C . Given that R = 3 ohm, C = 1/2 Farad, L = 1 Henry, and t e t V ) ( volts. Solve for the current ( ) I t as a function of time. Give units.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

MAE 182 Sample Final Exam - Problem 1(5 5 10 Consider the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online