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Let x: (x- 1)Cx+4) sint t Cx- 1) Be a non- linear non- separable first order di fferential equation a. Verity existence and uniqueness is soltistied for all x andt. b. Verity x (t):1 for all t is a solution ift x (t,)= 1 C. Explain why any solution b Hus differential equahon is eifther always one or never One.

Let x: (x- 1)Cx+4) sint t Cx- 1) Be a non- linear non- separable first order di fferential equation a. Verity existence and uniqueness is soltistied for all x andt. b. Verity x (t):1 for all t is a solution ift x (t,)= 1 C. Explain why any solution b Hus differential equahon is eifther always one or never One.

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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Let x: (x- 1)cX+4) $in t t CX-1) Be a non linear non- separable first order differential equation a. Verify existence and uniqueness is scutistied for all x and t b. verity x (t):1 for all t is a solution it x (t,)= 1 c. Explain why any solution b thus differential equution is either %3D %3D always one or never one.
Transcribed Image Text:Let x: (x- 1)cX+4) $in t t CX-1) Be a non linear non- separable first order differential equation a. Verify existence and uniqueness is scutistied for all x and t b. verity x (t):1 for all t is a solution it x (t,)= 1 c. Explain why any solution b thus differential equution is either %3D %3D always one or never one.
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