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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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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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