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The differential equation x- ди ди 2u satisfying the initial condition y = xg(x). +y %3D ty u = f(x) with S(x)= 2x, g(x)=1, has no solution f(x)= 2x,g(x)= 1, has infinite number of solutions f(x)= x',g(x)= x, has a unique solution. %3D %3D %3! 4

The differential equation x- ди ди 2u satisfying the initial condition y = xg(x). +y %3D ty u = f(x) with S(x)= 2x, g(x)=1, has no solution f(x)= 2x,g(x)= 1, has infinite number of solutions f(x)= x',g(x)= x, has a unique solution. %3D %3D %3! 4

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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The Cauchy problem 2ux + 3uy = 5, u= 1 on the line 3x-2y = 0 has (a) unique solution (c) infinitely solution (b) exactly two solution (d) no solution ди The differential equation x- ди = 2u satisfying the initial condition y =. xg(x) i = f(x) with f(x)= 2x, g(x)=1, has no solution (a) (b) f(x)= 2x²,g(x)=1, has infinite number of solutions f(x)=x',g(x)= x, has a unique solution. (c) (d) f(x)= x*,g(x)= x, has a unique solution.
Transcribed Image Text:The Cauchy problem 2ux + 3uy = 5, u= 1 on the line 3x-2y = 0 has (a) unique solution (c) infinitely solution (b) exactly two solution (d) no solution ди The differential equation x- ди = 2u satisfying the initial condition y =. xg(x) i = f(x) with f(x)= 2x, g(x)=1, has no solution (a) (b) f(x)= 2x²,g(x)=1, has infinite number of solutions f(x)=x',g(x)= x, has a unique solution. (c) (d) f(x)= x*,g(x)= x, has a unique solution.
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