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d'y (i) x². +3x dx² dy + 5y = 8x, y(1) = 2, y(exp(π/4)) = 2 sinh(π/4). dx

d'y (i) x². +3x dx² dy + 5y = 8x, y(1) = 2, y(exp(π/4)) = 2 sinh(π/4). dx

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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Find the nontrivial solution of each of the above equations.

(i) x² +3x + 5y = 8x, y(1) = 2, y(exp(π/4)) = 2 sinh(π/4). dy dx zy−3, y>0, -⁄y-3, y≤0, (ii) dy dx d²y dx² || y(0) = 1, with y(x) ≤ Co[0, ∞).
Transcribed Image Text:(i) x² +3x + 5y = 8x, y(1) = 2, y(exp(π/4)) = 2 sinh(π/4). dy dx zy−3, y>0, -⁄y-3, y≤0, (ii) dy dx d²y dx² || y(0) = 1, with y(x) ≤ Co[0, ∞).
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