verify that y1(t)=1, and y2(t)=t^(1/2) are solutions to the differiential equation yy''+ (y')^2 = 0 for t>0. Then show that c1+c2t^(1/2) is not a general solution of this equation and why this does not contradict the superposition principle.
verify that y1(t)=1, and y2(t)=t^(1/2) are solutions to the differiential equation yy''+ (y')^2 = 0 for t>0. Then show that c1+c2t^(1/2) is not a general solution of this equation and why this does not contradict the superposition principle.
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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verify that y1(t)=1, and y2(t)=t^(1/2) are solutions to the differiential equation yy''+ (y')^2 = 0 for t>0.
Then show that c1+c2t^(1/2) is not a general solution of this equation and why this does not contradict the superposition principle.
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