36x y(1) = 1 and y'(1) = 12 dx2 with i. y(x) = 10x3 – 9x² ii. y(x) = 3x° – 2x² iii. y(x) = 3x° – 2r² |

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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The directions to the problem are "For each initial-value problem given below, three choices for a possible solution y=y(x) are given. Determine whether each choice is or is not a solution to the given initial-value problem."

d. x?d²y
dx2
dy
4x +
%3D
+ 6y = 36x°
dx
y(1) = 1 and y'(1) = 12
with
i. y(x) = 10x³ – 9x2
iii. y(x)= 3x° – 2r
%3D
ii. y(x) = 3x° - 2x2
%3D
Transcribed Image Text:d. x?d²y dx2 dy 4x + %3D + 6y = 36x° dx y(1) = 1 and y'(1) = 12 with i. y(x) = 10x³ – 9x2 iii. y(x)= 3x° – 2r %3D ii. y(x) = 3x° - 2x2 %3D
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