Toronto Math Forum
MAT2442013F => MAT244 MathTests => MidTerm => Topic started by: Victor Ivrii 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).

Here's my solution

6

6 Y just not equal to 0, not y>0, typo

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