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11. Exact Differential equation; check whether the DGL is exact, if so determine the potential F(x,y) Mathematische Meth
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11. Exact Differential equation; check whether the DGL is exact, if so determine the potential F(x,y) Mathematische Methoden der Theoretischen Physik für LA Physik SS 22 11. exakte Differentialgleichung; überprüfen Sie, ob die DGL exakt ist; falls ja bestim- men Sie das Potenzial F(x, y) a) 4x³y³ − 4xy + (3x¹y² – 2x²)y'(x) = 0 - b) 4x²y³ − 4y + (3x³y² − 2x)y'(x) = 0 c) -sin(xy) - cos(xy) — (sin(xy) + cos(xy))y'(x) = 0