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How many solutions does $x'=\sin\left(x^2+t^2\right)+\frac{t^2}{t^2+1}\left|x\right|, x\left(t_0\right)=x_0$ have and is it extendable on R?

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#ordinary-differential-equations #cauchy-problem
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Proving the existence of global solution for a family of Cauchy problems

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#real-analysis #ordinary-differential-equations #cauchy-problem
151
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Cauchy problem and global solution

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#ordinary-differential-equations #solution-verification #cauchy-problem
2k
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Find the solution of the Cauchy problem $u_t-uu_x=0$.

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#ordinary-differential-equations #partial-differential-equations #cauchy-problem
349
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Solving Cauchy Problem Using Lagrange Method

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#partial-differential-equations #lagrange-multiplier #cauchy-problem
52
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Result of Cauchy Schwarz inequlaity (homogeneous case)

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#inequality #homogeneous-equation #cauchy-problem
639
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Ordinary Differential Equation (1°ord.), positive or negative constant when solving Cauchy problem?

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#analysis #ordinary-differential-equations #indefinite-integrals #cauchy-problem
184
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Cauchy problem has no global solution (Lee Smooth Manifolds 9.23.c)

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#partial-differential-equations #cauchy-problem
519
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A boundary value problem on the unit disk

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#partial-differential-equations #boundary-value-problem #cauchy-problem
235
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A function such that any solution to the Cauchy problem has no entire solution in $\mathbb{R}^2$

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#partial-differential-equations #cauchy-problem
334
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Solving a Cauchy problem

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#ordinary-differential-equations #cauchy-problem
349
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Alternative solution to fixed point iteration, Cauchy problem

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#numerical-methods #error-propagation #fixed-point-iteration #cauchy-problem
13.9k
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Find limit by using Cauchy's second limit theorem

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#limits #cauchy-problem
152
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Laplace transform of a Cauchy's problem

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#integration #laplace-transform #cauchy-problem
50
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Laplace transform of this problem's solution

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#laplace-transform #cauchy-problem

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