Please answer these three question using differential equation thank you

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 6E
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Please answer these three question using differential equation thank you

Determine respectively the degree and order
of the equation ydy.
dy
dx²
dx
A. second, second
B. third, first
C. third, second
D. first, second
dx X
+ = COS X
dt t²
C. (x-y)y"+2y' = sin.x
Which of the following equations is linear?
A. ÿ-5y + y lnt = sint
B.
D.
dy x
dx y
-y²dy
dx
+ = 0
= 0
Which of the following equations is
nonlinear?
A. y' = y sin x + ex
B. 2xy' + x¹½ tan 3x + 5y = 0
C. cos xy' + y ln x = e-2y
D. d²x/dt² + e-2t dx/dt + 3x = (cos 5t)¹½
Transcribed Image Text:Determine respectively the degree and order of the equation ydy. dy dx² dx A. second, second B. third, first C. third, second D. first, second dx X + = COS X dt t² C. (x-y)y"+2y' = sin.x Which of the following equations is linear? A. ÿ-5y + y lnt = sint B. D. dy x dx y -y²dy dx + = 0 = 0 Which of the following equations is nonlinear? A. y' = y sin x + ex B. 2xy' + x¹½ tan 3x + 5y = 0 C. cos xy' + y ln x = e-2y D. d²x/dt² + e-2t dx/dt + 3x = (cos 5t)¹½
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