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

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

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

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

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

Solution steps

sec (x) \frac{d y}{d x} = 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})

\int \frac{x}{x ^{2} + 7} d x

\frac{\partial}{\partial x} (- 4 x^{2})

(- e^{x})^{^{'}}

2 x^{2} y^{^{'}} = y^{^{'}} + 6 x e^{- y}

\int \frac{1}{( 1 + x ^{2} ) ^{2}} d x

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