What is the solution for (dy)/(dx)=cos(x)*e^{y+sin(x)} ?

The solution for (dy)/(dx)=cos(x)*e^{y+sin(x)} is y=-ln(-e^{sin(x)}-c_{1})

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(dy)/(dx)=cos(x)*e^{y+sin(x)}

\frac{d y}{d x} = cos (x) \cdot e^{y + s i n (x)}

y = - ln (- e^{s i n (x)} - c_{1})

Solution steps

\frac{d y}{d x} = cos (x) \cdot e^{y + s i n (x)}

Solve separable ODE:

y = - ln (- e^{s i n (x)} - c_{1})

y = - ln (- e^{s i n (x)} - c_{1})

What is the solution for (dy)/(dx)=cos(x)*e^{y+sin(x)} ?
The solution for (dy)/(dx)=cos(x)*e^{y+sin(x)} is y=-ln(-e^{sin(x)}-c_{1})