Hello! I need help with the 1st 2 questions for my differential equations homework.

Thank you!

 

 

Math 2420 Assignment 9/13
1) Solve the equation
dy
2y 2 + 2y + 4x2
=−
.
dx
2xy + x
2) Find an integrating factor of the form xn y m (where n and m are to be
determined) and solve the equation
dy
6xy − 2y 2
=
.
dx
3xy − 4x2 3) Solve the equation
cos x cos y
dy
=
.
dx
2 sin x sin y
4) Solve the initial value problem
1
00
0
0
y − 4y + 3y = 0 , y(0) = 1 , y (0) = .
3 5) Solve the initial value problem
00 0 0 y + y = 0 , y(0) = 2 , y (0) = 1. 1

Attachments:

• 1492572350-assignment913.pdf