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Beliebt Rechnen >

e^y+ycos(x)+(xe^y+sin(x))(dy)/(dx)=0

Lösung

e^{y} + y cos (x) + (x e^{y} + sin (x)) \frac{d y}{d x} = 0

Lösung

y = - W (\frac{x e ^{\frac{c _{1}}{s i n ( x )}}}{sin ( x )}) + \frac{c _{1}}{sin ( x )}

Schritte zur Lösung

e^{y} + y cos (x) + (x e^{y} + sin (x)) \frac{d y}{d x} = 0

Solve exact ODE:

y = - W (\frac{x e ^{\frac{c _{1}}{s i n ( x )}}}{sin ( x )}) + \frac{c _{1}}{sin ( x )}

y = - W (\frac{x e ^{\frac{c _{1}}{s i n ( x )}}}{sin ( x )}) + \frac{c _{1}}{sin ( x )}

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integral of 4x^3-3x^2+6x-1

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