What is the solution for e^xcos(y)dx-xe^xsin(y)dy=0 ?

The solution for e^xcos(y)dx-xe^xsin(y)dy=0 is y=arccos((c_{1})/x)+2pin,y=-arccos((c_{1})/x)+2pin

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e^xcos(y)dx-xe^xsin(y)dy=0

e^{x} cos (y) d x - x e^{x} sin (y) d y = 0

y = arccos (\frac{c _{1}}{x}) + 2 πn, y = - arccos (\frac{c _{1}}{x}) + 2 πn

Solution steps

e^{x} cos (y) d x - x e^{x} sin (y) d y = 0

Solve separable ODE:

y = arccos (\frac{c _{1}}{x}) + 2 πn, y = - arccos (\frac{c _{1}}{x}) + 2 πn

y = arccos (\frac{c _{1}}{x}) + 2 πn, y = - arccos (\frac{c _{1}}{x}) + 2 πn

y^{^{'}} + 9 y = 0, y (0) = 2

(x^{2} + 7) y^{^{'}} = x (y^{2} + 9)

y^{^{'}} = \frac{2 x}{y + x ^{2} y}, y (0) = - 2

\frac{d y}{d x} = 55 y x^{10}

\frac{d v}{d t} = 9 v, v (0) = 11.3

What is the solution for e^xcos(y)dx-xe^xsin(y)dy=0 ?
The solution for e^xcos(y)dx-xe^xsin(y)dy=0 is y=arccos((c_{1})/x)+2pin,y=-arccos((c_{1})/x)+2pin