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Topics - Xin Wen

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MAT244--Lectures & Home Assignments / 9.2 problem set Q21?
« on: November 24, 2018, 04:57:45 PM »
Can any one give me the idea about 9.2 problem set Q21?

Given that $x=\phi(t)$, $y=\psi(t)$ is a solution of the autonomous system
\begin{equation}
    \frac{dx}{dt} = F(x,y), \frac{dy}{dt}=G(x,y)
\end{equation}
for $\alpha < t < \beta$, show that $x=\Phi(t)=\phi(t-s), y=\Psi(t)=\psi(t-s)$ is a solution for $\alpha + s < t < \beta +s $ for any real number s.

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