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Not every first-order differential equation has a solution method. However, if it is exact, we can find a clear method for finding a solution to such a ODE using the method of determining a primitive function to a gradient field. The best part is: Even if a ODE is not exact, it can often still be made exact by multiplying it with a multiplier.

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The Exact Differential Equation

  • 章节

  • 发表日期：

    2026年

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  • Christian Karpfinger

摘要

Not every first-order differential equation has a solution method. However, if it is exact, we can find a clear method for finding a solution to such a ODE using the method of determining a primitive function to a gradient field. The best part is: Even if a ODE is not exact, it can often still be made exact by multiplying it with a multiplier.