Given that a system is a gradient system, here's how to find it's potential function V. Suppose that and Then implies and . Use this procedure to find V for the following gradient system:
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Originally Posted by splash Given that a system is a gradient system, here's how to find it's potential function V. Suppose that and Then implies and . Use this procedure to find V for the following gradient system: Can you state your question differently. You want to find a vector field such as what? In that case, Thus, (in first equation) Where is to be determined. But then, So, So, Thus, it seems the function,
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