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Use the "mixed partials" check to see if the following differential equation is exact.

(3x^3 − 3y) dx + (−3x + 2y1) dy = 0
If it is exact find a function F(x,y) whose differential, dF(xy) is the left hand side of the differential equation. That is, level curves F(xy)=C are solutions to the differential equation.

User Mirdrack
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Answer:

The equation is exact

F(x,y) = 3x4/4 - 3xy -y2

Explanation:

The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.

Use the "mixed partials" check to see if the following differential equation-example-1
User Amrita Sawant
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