just c-e, please!please thoroughly explain, because current explanations for these answers on this site don't exactly make sense to me. Label each of the following statements as true or false. If true, prove the statement. If false,provide a counterexample.(a) If the characteristic equation of a constant-coefficient, linear, homogeneous ODE has onenon-real root, then it has at least two non-real roots.(b) Let a, b, c, xo, x1, Yo, Y1 ER and xo # Yo, a # 0. Then the ODE ay" + by' + cysatisfying y(xo)= yo and y'(x1)Yı is guaranteed a unique solution.(c) Let p and q be polynomials of degree n with domain R. If there exists cER such thatW [p, q](c) = 0, then p and q are linearly dependent.(d) Suppose the general solution of a linear, second-order ODE is y =domain D, where C1, C2 E R. Then for any x e D, W[yl, y2](x) # 0.C141 + C2y2 with(e) Let L denote the Laplace transform and f (t) =sin(t)cos(t)Then L(f) exists.

To find: Whether the given statement is true or false.

Answered: Let p and q be polynomials of degree n…

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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For the following questions, THERE IS NO NEED FOR EXPLANATION. PLEASE PROVIDE JUST THE ANSWER THANK YOU. Please DO NOT waste time on writing things to explain. Please answer in 30 mintues or else I will write a bad review. If you follow my rules and answer in less than 30 mintues then I will write a very long and wonderful review about you. ANSWER the questions correlty and please answer all the questions with what it regards in saying exactly. Ive read the guide lines and honor code that i can have up to Submit only one question at a time under the appropriate subject. A question can have up to 3 subparts (i.e. part a, b, and c). If you dont belive me here is the link of barthleby saying exactly that thanks: https://bartleby.zendesk.com/hc/en-us/articles/360017462394-How-can-I-ensure-my-questions-get-answered-as-quickly-as-possible-
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