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Answers for “一旦确认方程是恰当的,求解恰当微分方程的步骤是什么?”

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To check if a differential equation is exact, you must verify that the partial derivative of the coefficient of dx with respect to y is equal to the partial derivative of the coefficient of dy with respect to x. If these mixed partial derivatives are equal, the equation is exact.

Conditions: The equation must be in the form M(x,y)dx+N(x,y)dy=0M(x,y)dx + N(x,y)dy = 0.; M and N must have continuous first-order partial derivatives.