test2_spring_05

test2_spring_05 - MA-366, Spring 2005, Test...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MA-366, Spring 2005, Test 2Name:AnswersNote:You may use scratch paper. Show your work. Calculators are not allowed.Problem 1.(12 points)Solve the differential equations:(a)y00yCyDAnswer:yDet=2C1cosp32tCC2sinp32t(b)y00C10yC25yDAnswer:yDe5t(C1CC2t)(c)y00C10yC24yD,y(0)D1,y(0)D.Answer:yD2e6t3e4t1MA-366, Spring 2005, Test 22Problem 2.(12 points)A spring-mass system is governed by the equationy00C0.4yC1.04yD0.The system is displacedC5units from it equilibrium position and set in motion with initial velocityC4units/sec.(a) Find the solutiony(t);Answer:The initial conditions arey(0)D5,y(0)D4. The solution isyD5et=5(costCsint).(b) Write the solution in the formyDAectcos(!t). The following formula might be useful:cos(xy)DcosxcosyCsinxsiny.Answer:yD5p2et=5cos(t=4).(c) Plot the solution as precisely as you can by marking clearly with their values the first and secondx-intercept, and they-intercept.Answer:MA-366, Spring 2005, Test 23Problem 3. (12 points)Solve the inhomogeneous equationy002y3yDetC4e...
View Full Document

Page1 / 4

test2_spring_05 - MA-366, Spring 2005, Test...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online