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ODE Proof (2nd order linear homogeneous equations)
Yeah thanks guys, I think I get it now. v(x0)v(x1) would have to be negative. And since v is cts it must have an 0 between x0 and x1.- Daxin
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- Forum: Calculus and Beyond Homework Help
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ODE Proof (2nd order linear homogeneous equations)
Homework Statement Suppose u, v are two linearly independent solutions to the differential equation u''+p(x)u'+q(x)v=0. If x0,x1 are consecutive zeros of u, then v has a zero on the open interval (x0,x1) Homework Equations The Attempt at a Solution I'm trying to use the...- Daxin
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- Homogeneous Linear Ode Proof
- Replies: 3
- Forum: Calculus and Beyond Homework Help