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Exisence and unicity for Cauchy Problem

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#ordinary-differential-equations #partial-differential-equations #cauchy-problem
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Cauchy differential equation

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#ordinary-differential-equations #cauchy-problem
60
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Solve the Cauchy problem for the linear PDE

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#partial-differential-equations #self-learning #characteristics #cauchy-problem
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Find exact solution of Cauchy Problem using the convergence of a sequence defined by Fixed Point Theorem

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#ordinary-differential-equations #power-series #taylor-expansion #cauchy-problem
269
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Convergence of the Picard sequence

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#ordinary-differential-equations #cauchy-problem #picard-scheme
150
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Uniqueness of solutions of Cauchy problem with nonzero function

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#ordinary-differential-equations #cauchy-problem
440
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Coincidence of the Characteristic projection and the Data Curve

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#ordinary-differential-equations #characteristics #cauchy-problem
67
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Solve $\dot X = AX$ and find the time at which the area doubles.

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#linear-algebra #geometry #proof-verification #area #cauchy-problem
448
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Cauchy problem for diffusion equation and condition $x^2$ if $x\in [0,1]$

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#ordinary-differential-equations #partial-differential-equations #physics #alternative-proof #cauchy-problem
215
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Picard-Lindelöf theorem application with absolute value

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#ordinary-differential-equations #cauchy-problem
47
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PDE Cauchy Problem w/ Two Boundaries

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#partial-differential-equations #linear-pde #cauchy-problem
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How to solve $y^{\prime\prime}=y^2-y, y^{\prime}=0$ when $y(x_0)=1, y^{\prime}(x_0)=2$ where $x_0=\sqrt{2}$

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#ordinary-differential-equations #substitution #cauchy-problem
127
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Studying a solution of a Cauchy problem

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#ordinary-differential-equations #cauchy-problem
101
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Show that problem is well defined for each time

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#ordinary-differential-equations #partial-differential-equations #cauchy-problem
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Solving a Cauchy Problem using Method of Characteristics

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#partial-differential-equations #initial-value-problems #cauchy-problem

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