What is the solution for y^'=(cos(14x))/(e^{14y)} ?

The solution for y^'=(cos(14x))/(e^{14y)} is y=(ln(sin(14x)+c_{1}))/(14)

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y^'=(cos(14x))/(e^{14y)}

y^{^{'}} = \frac{cos ( 14 x )}{e ^{14 y}}

y = \frac{ln ( sin ( 14 x ) + c _{1} )}{14}

Solution steps

y^{'} (x) = \frac{cos ( 14 x )}{e ^{14 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 14 x ) + c _{1} )}{14}

y = \frac{ln ( sin ( 14 x ) + c _{1} )}{14}

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

x \to x lim (x)

y = (5 x - 1) (4 + 3 x) x, at x = 0

n = 1 \sum \infty \frac{7}{3 ^{n}}

\frac{d}{d x} (x^{2} + \frac{16}{x})

What is the solution for y^'=(cos(14x))/(e^{14y)} ?
The solution for y^'=(cos(14x))/(e^{14y)} is y=(ln(sin(14x)+c_{1}))/(14)