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How to solve the Cauchy problem $y'+xy=1+x$; $y(3/2)=0$

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#ordinary-differential-equations #cauchy-problem
89
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Solve for $u$ the PDE $(x − y − 1)u_x + (y − x − u + 1)u_y = u$ if $u=1$ on $x^2+(y+1)^2=1.$

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#partial-differential-equations #cauchy-problem
389
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Definition of (classical) solution for a boundary-value-problem

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#real-analysis #partial-differential-equations #boundary-value-problem #cauchy-problem
400
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Cauchy simulation in R

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#uniform-distribution #simulation #cauchy-problem
477
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Local uniqueness of solution for quasi linear PDE

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#real-analysis #general-topology #ordinary-differential-equations #partial-differential-equations #cauchy-problem
174
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Non-unique solution of first order PDE

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#ordinary-differential-equations #partial-differential-equations #cauchy-problem
120
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Solving Cauchy's problem with a discontinuous function

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#ordinary-differential-equations #initial-value-problems #sagemath #cauchy-problem
265
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$u$ is a spherical wave $\iff$ $f$ and $g$ are radial

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#partial-differential-equations #fourier-analysis #fourier-transform #wave-equation #cauchy-problem
53
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existence of solutions for Cauchy problems

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#partial-differential-equations #characteristics #cauchy-problem
86
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How do I study the domain of a Cauchy's problem without solving it?

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#ordinary-differential-equations #cauchy-problem
200
Views

If $\vert F(t,x)\vert \leq \alpha (t)\vert x\vert + \beta(t)$ the maximal solutions are global for an ODE

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#ordinary-differential-equations #cauchy-problem
108
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Limit of solution of Cauchy problem

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#ordinary-differential-equations #cauchy-problem
82
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Demonstrate that solution of differential equation is bounded

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#ordinary-differential-equations #estimation #cauchy-problem
66
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Can the unique, stationary solution of a Cauchy problem be prolonged on all $\Bbb R$ even if the differential equation is undefined at one point?

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#real-analysis #ordinary-differential-equations #multivariable-calculus #cauchy-problem
86
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Solving a Cauchy problem, differential equation

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#ordinary-differential-equations #cauchy-problem

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