(1) Let C1 and C, be arbitrary constants. The general solution to the homogeneous differential equation 169x?y" + 117xy' + 104y = 0 is the function y(x) = C1 Y1(x) + C2 Y2(x) = C1 +C2 (2) The unique solution to the initial value problem 169x?y" + 117xy' + 104y = 0, y(1) = -6, y'(1) = 6. %3D is the function y(x) = for x € For -0o type -inf and for oo type inf.
(1) Let C1 and C, be arbitrary constants. The general solution to the homogeneous differential equation 169x?y" + 117xy' + 104y = 0 is the function y(x) = C1 Y1(x) + C2 Y2(x) = C1 +C2 (2) The unique solution to the initial value problem 169x?y" + 117xy' + 104y = 0, y(1) = -6, y'(1) = 6. %3D is the function y(x) = for x € For -0o type -inf and for oo type inf.
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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Transcribed Image Text:(1) Let C1 and C, be arbitrary constants. The general solution to the
homogeneous differential equation 169x?y" + 117xy' + 104y = 0 is the function
y(x) = C1 Y1(x) + C2 Y2(x) = C1
+C2
(2) The unique solution to the initial value problem
169x?y" + 117xy' + 104y = 0, y(1) = -6, y'(1) = 6.
%3D
is the function y(x) =
for x €
For -0o type -inf and for oo type inf.
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