1d³y dx3 a.) x² + secxy c.) (y³ − y + 1)dx + - 4x √x+1 b.) x(y' - xy) = (x² + x−²)y5 e.) y' - x = 2yy' = 0 x² x³-1 dy = 0 d.) y sec²(xy) dx + x sec²(xy) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Determine whether the given DE is separable, linear, exact, or Bernoulli. 

 

Please do part A b C and E 

 

 

1 d³y
a.) x² + secxy
dx3
c.) (y³ − y + 1)dx +
-
4x
√x+1
b.) x(y' — xy) = (x² + x−²)y5
e.) y' - x = 2yy'
0
x²
x³-1
dy = 0
d.) y sec² (xy) dx + x sec²(xy) = 0
Transcribed Image Text:1 d³y a.) x² + secxy dx3 c.) (y³ − y + 1)dx + - 4x √x+1 b.) x(y' — xy) = (x² + x−²)y5 e.) y' - x = 2yy' 0 x² x³-1 dy = 0 d.) y sec² (xy) dx + x sec²(xy) = 0
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