Full answer: Find the orbits of each of the following systems

Chapter 4, Problem 5

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QUESTION:

Find the orbits of each of the following systems.

\(\begin{array}{l}
\dot{x}=y, \\
\dot{y}=-x
\end{array}\)

Questions & Answers

QUESTION:

Find the orbits of each of the following systems.

\(\begin{array}{l}
\dot{x}=y, \\
\dot{y}=-x
\end{array}\)

ANSWER:

Step 1 of 2

Taking division of f(x, y)and g(x, y):

\(\begin{aligned}\frac{dy}{dx}&=\frac{g(x,\ y)}{f(x,\ y)}\\ &=\frac{-x}{y}\end{aligned}\)

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