### Author Topic: MT, P6  (Read 1469 times)

#### Victor Ivrii

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##### MT, P6
« on: October 09, 2013, 07:24:11 PM »
Demonstrate that the initial value problem
\begin{equation*}
y^3y' +t=0,\qquad y(0)=0
\end{equation*}
does not have a solution on any interval $(\alpha,\beta)$, where $\alpha<0<\beta$, and explain why this fact does not contradict the existence and uniqueness theorem for first order initial value problems (Theorem 2.4.2 in the textbook).

#### Alexander Lozano

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##### Re: MT, P6
« Reply #1 on: October 09, 2013, 10:14:28 PM »
Here's my solution
« Last Edit: October 09, 2013, 10:21:43 PM by Alexander Lozano »

#### Xiaozeng Yu

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##### Re: MT, P6
« Reply #2 on: October 09, 2013, 10:40:30 PM »
6

#### Xiaozeng Yu

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##### Re: MT, P6
« Reply #3 on: October 09, 2013, 10:45:20 PM »
6 Y just not equal to 0, not y>0, typo

#### Victor Ivrii

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##### Re: MT, P6
« Reply #4 on: October 10, 2013, 06:33:03 AM »
Alexandro, your handwriting is atrocious.

Xiaozeng Yu, you post solutions, not ask questions how it will be graded (we leave it to TAs).