wksht01sol - MATH 152 L1 & L2 Applied Linear...

Info iconThis preview shows pages 1–2. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 152 L1 & L2 Applied Linear Algebra and Differential Equations Spring 2004-05 ¥ Week 01 Worksheet Solutions : First-order differential equations Q1. (Linear vs. nonlinear) Indicate whether the following equation is linear or nonlinear . 1. dy dt + 3 t 2 y = 0 linear . 7. dy dt = t + sin y . 2. y + y 2 = t . 8. dy dt ¶ 2 = y . 3. dy dt = 2 ty 2 t 2- y 2 . 9. y + y = sin- 1 t 2 , | t | < 1 . 4. dy dt + 2 y = e 2 t . 10. dy dt = 2 t- y y- t . 5. y = t p 1 + y 2 . 11. dy dt = te y + t . 6. y dy dt + ty = t . 12. dx dt + 2 t + 1 2 t x = 2 x + 1 2 t . Solution 1. linear 2. nonlinear 3. nonlinear 4. linear 5. nonlinear 6. nonlinear 7. nonlinear 8. nonlinear 9. linear 10. nonlinear 11. nonlinear 12. linear Q2. (i) (Direction field) Match the graph of the direction field to the differential equation and give a brief justification for your choice. –3 –2 –1 1 2 3 y(t) –3 –2 –1 1 2 3 t (a) dy dt =- ty ....
View Full Document

Page1 / 3

wksht01sol - MATH 152 L1 & L2 Applied Linear...

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

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