## Description

Homework #2 Math 527

The usual instructions: Solve the problems, simplifying the solution as much as you

can. AWE (Always Write Equations) and ADTSTTBSOTE (Always Do The Same Thing

To Both Sides Of The Equation). Your work should be clear, legible, organized, and

written on loose-leaf paper. Write your name, Math 527, section #, and HW2 in the

upper-right corner, and staple the pages together on the upper-left corner.

Problems 1-7: Determine if the ODE is an “exact equation.” If it is, find an implicit

solution, or an explicit solution if you can.

1. 2x + y − (x + 6y)

dy

dx = 0

2. 2x − 1 + (3y + 7)dy

dx = 0

3. 5t + 4y + (4t − 8y

3

)

dy

dt = 0

4. x2 − y

2 + (x

2 − 2xy)

dy

dx = 0

5. t

dy

dt = 2tet − y + 6t

2

6. (x + y)

2 + (2xy + x

2 − 1)dy

dx = 0

7. sin y − y sin x + (cos x + x cos y − y)

dy

dx = 0