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Please answer these three question using differential equation thank you

Please answer these three question using differential equation thank you

Advanced Engineering Mathematics
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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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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