Determine which of following statements true or false. 1. Let yiv +y' = g(t)Then W (y1, y2, Y3, Y4) =ct? 2. The form for nonhomogeneous solution of the following D.E "-y'=2+e'is y,(t) = At? + Bt + cet ? 3. D.E (x + 3)y" – 2xy'+ (1 – x²)y = o has irregular singular point at x=-3?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine which of following statements true or false.
y = g(t)Then W (y1, y2, y3, y4) =ct?
%3D
2. The form for nonhomogeneous solution of the
following D.E "-y' =2+e' is yp(t) = At? + Bt + cet ?
3. D.E (x + 3)y"– 2xy'+ (1– x?)y = 0 has irregular
%3D
singular point at x=-3?
)
4. L (S(t – 1)³ cos 2 t. dt)
)
+4
e-25s
5. L-1 ) = uz(t)e-2t cosh t
(s+2)2-16.
6. L(e2t cos 2 t)
(s-2)2+4
Transcribed Image Text:Determine which of following statements true or false. y = g(t)Then W (y1, y2, y3, y4) =ct? %3D 2. The form for nonhomogeneous solution of the following D.E "-y' =2+e' is yp(t) = At? + Bt + cet ? 3. D.E (x + 3)y"– 2xy'+ (1– x?)y = 0 has irregular %3D singular point at x=-3? ) 4. L (S(t – 1)³ cos 2 t. dt) ) +4 e-25s 5. L-1 ) = uz(t)e-2t cosh t (s+2)2-16. 6. L(e2t cos 2 t) (s-2)2+4
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