Find the general solution of this differential equation with separable variables: ((3e^x)sin y dx + (1 - e^x)cos ydy = 0)

Question

Find the general solution of this differential equation with separable variables: ((3e^x)sin y dx + (1 - e^x)cos ydy = 0)
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Solution 1

Claro, aquí tienes la solución paso a paso:

Dada la ecuación diferencial:

[ (3e^x \sin y) , dx + (1 - e^x) \cos y , dy = 0 ]

Primero, separamos las variables. Reescribimos la ecuación de la siguiente manera:

[ 3e^x \sin y , dx = -(1 - e^x) \cos y , dy ]

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