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A question regarding existence and uniqueness in IVP

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#ordinary-differential-equations #initial-value-problems
471
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initial conditions, pde

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#ordinary-differential-equations #partial-differential-equations #initial-value-problems
120
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Is a differential equation with a periodic solution considered to have multiple solutions?

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#ordinary-differential-equations #initial-value-problems
39
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Don't understand the IVP

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#ordinary-differential-equations #initial-value-problems
3.4k
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Polynomial solution of the equation $(1-x^2)y''-2xy'+6y=0$

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#analysis #ordinary-differential-equations #polynomials #initial-value-problems
1.2k
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Solution to a given matrix initial value problem

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#ordinary-differential-equations #initial-value-problems
282
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Ordinary differential equation, IVP using matrix method

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#linear-algebra #ordinary-differential-equations #initial-value-problems
428
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Existence of unique global solution

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#real-analysis #ordinary-differential-equations #initial-value-problems
61
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$F$ continuous and the initial value problem uniquely solvable

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#real-analysis #ordinary-differential-equations #continuity #initial-value-problems
462
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Why does finite difference approximation method and RK4 method produce different result for an initial value problem?

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#boundary-value-problem #finite-differences #initial-value-problems #runge-kutta-methods
234
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Laplace differential equation with initial conditions

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#ordinary-differential-equations #laplace-transform #initial-value-problems
260
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Proving this IVP has no solution

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#ordinary-differential-equations #initial-value-problems
97
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initial-value-problem

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#initial-value-problems
861
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Given the Cauchy's problem: $y'' = 1, y(0) = 0, y'(0) = 0$. Why finite difference method doesn't agree with recurrence equation?

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#ordinary-differential-equations #numerical-methods #recurrence-relations #finite-differences #initial-value-problems
5.6k
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Find a one parameter family of solutions?

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#ordinary-differential-equations #derivatives #parameter-estimation #initial-value-problems

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