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Which of the following statements are FALSE? * I. xy + 2y' + 3y=x is called as non-homogeneous equation with constant coefficients. If m = ±3i and f(x)=cos(x), therefore y, =C cos(x)+ Dsin(x). III. The suggestion of y, is based on y,- II. IV. If y, = Cx² + Dx + E,then y," = 2C. %3D

Which of the following statements are FALSE? * I. xy + 2y' + 3y=x is called as non-homogeneous equation with constant coefficients. If m = ±3i and f(x)=cos(x), therefore y, =C cos(x)+ Dsin(x). III. The suggestion of y, is based on y,- II. IV. If y, = Cx² + Dx + E,then y," = 2C. %3D

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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Which of the following statements are FALSE? * I. xy + 2y' + 3y =x is called as non-homogeneous equation with constant coefficients. II. If m = ±3i and f(x)=cos(x), therefore y,=C cos(x)+ Dsin(x). %3D III. The suggestion of y, is based on y,- IV. If y, =Cx² + Dx + E, then y," = 2C. I and III I, Il and IV II, II and IV O Il and IV
Transcribed Image Text:Which of the following statements are FALSE? * I. xy + 2y' + 3y =x is called as non-homogeneous equation with constant coefficients. II. If m = ±3i and f(x)=cos(x), therefore y,=C cos(x)+ Dsin(x). %3D III. The suggestion of y, is based on y,- IV. If y, =Cx² + Dx + E, then y," = 2C. I and III I, Il and IV II, II and IV O Il and IV
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