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Elementary Initial value problem ODE

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#ordinary-differential-equations #initial-value-problems
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Initial value problem ODE - "choosing" particular solution

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How to solve a difference equation in terms of initial value $y_0$ and describe the behavior of its solution as $n$ approaches $\infty$?

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ODE Substitution Problem

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#calculus #integration #ordinary-differential-equations #derivatives #initial-value-problems
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Existence and uniqueness of initial value problems

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Using bounds for an analytically intractable differential equations problem

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#ordinary-differential-equations #dynamical-systems #initial-value-problems
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PDE with Laplace transform 4

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#partial-differential-equations #laplace-transform #initial-value-problems
59
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Matrix Equations to Solve ODE

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43
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Determining the initial conditions on a set of PDEs

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#ordinary-differential-equations #partial-differential-equations #numerical-methods #initial-value-problems
167
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Maximal solutions of $x' = \sqrt{|x|}$, $x(0) = 0$

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#ordinary-differential-equations #initial-value-problems
177
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Local uniqueness in separable variables ODE

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#ordinary-differential-equations #initial-value-problems
210
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Studying local uniqueness in the family $ \begin{cases} x' = |x|^{p}\\ x(t_0) = 0\\ \end{cases} $

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#ordinary-differential-equations #initial-value-problems
77
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Is $\frac{1}{x}$ continuosly differentiable on the set $E = (- \infty, 0) \cup (0, \infty)$?

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#ordinary-differential-equations #analysis #derivatives #continuity #initial-value-problems
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Solving an IVP using Laplace Transformations

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#laplace-transform #initial-value-problems #inverse-laplace
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Laplace Transform for an Initial Value Problem with Arbitrary Function

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