EXAM1 - Problem 1(10pts Solve the general first order...

Info iconThis preview shows pages 1–7. 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 Document Right Arrow Icon

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Problem 1 (10pts) . Solve the general first order linear differential equation dy dt + p ( t ) y = g ( t ) , using the integrating factor technic. 1 Problem 2 (10pts) . Let α ∈ R be a real number. Solve dy dx = y α , y (0) = 1 . (Hint: Treat the case α = 1 separately.) 2 Problem 3 (10pts) . Solve ( 2 xe x 2 y- 1 y ) + ( e x 2 y + x y 2 ) dy dx = 0, y (0) = 2006. 3 Problem 4 (12pts) . Consider the 3 rd order linear differential equation ( ? ) y (3)- y 00- 2 y- 3 y = 0 . y (0) = 0 , y (0) = 1 , y 00 (0) = 2 . Find the 1 st order differential equation in R 3 equivalent to ( ? ). 4 Problem 5 (12pts) . Solve the general homogeneous 2 nd order linear differential equation with constant coefficients ay 00 + by + cy = 0 . Analyze all the three cases possible, i.e., b 2- 4 ac > 0, b 2- 4 ac < 0, and b 2- 4 ac = 0. 5 Problem 6 (10pts) . Solve the nonhomogeneous 2 nd order linear equation y 00 + y- 2 y = 2 t, y (0) = 0 , y (0) = 1 ....
View Full Document

{[ snackBarMessage ]}

Page1 / 10

EXAM1 - Problem 1(10pts Solve the general first order...

This preview shows document pages 1 - 7. Sign up to view the full document.

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