Existence an duniqueness
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Using the existence-uniqueness theorem show that the following IVP has a solution but it is not unique:
y''+y'/x-9y/x^2=0
y(0) bounded
general solution: y=Ax^3+Bx^{-3}
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Solution Summary
This provides an example of working an existence and uniqueness proof.
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The uniqueness and existence theorem states that
Let p(t), q(t), and g(t) be continuous on [a,b], then the differential equation
y'' + p(t)y' + q(t)y = g(t) y(t0) = y0 y'(t0) = y'0
has a ...
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