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$\max_{t\in[0,T]}|x(t)|^2 \le |x(0)|^2e^{\int_0^T|y|^2\,\mathrm ds}.$ using gronwall's lemma?

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#calculus #ordinary-differential-equations #partial-differential-equations
139
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Using gronwall's lemma to prove inequalities involving max$x(t)$.

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#functional-analysis #ordinary-differential-equations #analysis #partial-differential-equations
29
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How to make this?

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#ordinary-differential-equations
58
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Let $g$ be continuous for $t\ge t_0$, and consider the initial value problem $y'+ay=g(t); y(t_0)=y_0$

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#ordinary-differential-equations
78
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Guess the recursion

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#ordinary-differential-equations #recursion #mathematica #algebraic-combinatorics
3.1k
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Understanding Galerkin method of weighted residuals

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#ordinary-differential-equations #numerical-methods #finite-element-method #galerkin-methods #weighted-least-squares
73
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Inconsistency for solving $x' = x^{1/2}$

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#calculus #ordinary-differential-equations
173
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Exisence and unicity for Cauchy Problem

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#ordinary-differential-equations #partial-differential-equations #cauchy-problem
401
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Analytic solution of coupled nonlinear differential equation

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#ordinary-differential-equations #dynamical-systems
113
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Solve this ODE system?

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#linear-algebra #ordinary-differential-equations
858
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Using the Putzer Algorithm to Compute $e^{At}$

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#ordinary-differential-equations
50
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Does anyone know something about this graph?

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#ordinary-differential-equations #parametric
973
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Should I apply boundary conditions in the general solution before finding the particular solution?

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#ordinary-differential-equations
518
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Division of modified bessel of the second kind over the first kind

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#linear-algebra #abstract-algebra #ordinary-differential-equations #systems-of-equations
64
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conflicting answer to indefinite integral

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#ordinary-differential-equations #indefinite-integrals

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