test1_spring_04

test1_spring_04 - Name: Answers MA-366, Spring 2004, Test 1...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MA-366, Spring 2004, Test 1 Name: Answers Note: You may use scratch paper. If the space provided is not enough, continue on the back or attach additional sheets (well organized). Show your work. Calculators are not allowed. Problem 1. (12 points) Solve the initial value problem x dy dx C 2y D e ± x ,y ( ± 1) D 3. and determine the largest interval where the solution is defined. Answer: This is a linear equation. The general solution is y(x) D C ± (x C 1)e ± x x 2 . The solution of the IVP is D 3 ± (x C 1)e ± x x 2 , defined for t < 0 . 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
MA-366, Spring 2004, Test 1 2 Problem 2. (12 points) Solve the initial value problem (1 ± e x ) dy dx D y C ye x ,y ( ln 2) D 4, and determine the largest interval, where the solution is defined. Answer: This is a separable equation. The solution is y(x) D 2e x (1 ± e x ) 2 , x > 0 .
Background image of page 2
MA-366, Spring 2004, Test 1 3 Problem 3. (12 points) Solve the initial value problem y 2 dy dx D 1 C y 2 , y(0) D 1. Answer: Separable equation. Implicit solution: y ± arctan (y) D x C 1 ± ± 4 .
Background image of page 3

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

View Full DocumentRight Arrow Icon
MA-366, Spring 2004, Test 1 4 Problem 4. (12 points)
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

test1_spring_04 - Name: Answers MA-366, Spring 2004, Test 1...

This preview shows document pages 1 - 5. Sign up to view the full document.

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