# Differential Equations : Uniqueness Theorem and Initial Conditions

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Using uniqueness theorem, what can you conclude about the solution to the equation with the given inital conditions?

dy/dt = f(y)

y1(t) = 4 for all t is a solution

y2(t) = 2 for all t is a solution

y3(t) = 0 for all t is a solution

inital condition y(0) = 1

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Differential equations, uniqueness theorem and initial conditions are investigated.

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Mathematics, Ordinary Differential Equations

Year 2

Differential equations question #2

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Hi. Please show all steps with some explanation.

Thanks!

Problem 2:

Using uniqueness theorem, what can you conclude about the

solution to the ...

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