What is the solution for (dy)/(dx)=(cos(10x))/(e^{10y)} ?

The solution for (dy)/(dx)=(cos(10x))/(e^{10y)} is y=(ln(sin(10x)+c_{1}))/(10)

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(dy)/(dx)=(cos(10x))/(e^{10y)}

\frac{d y}{d x} = \frac{cos ( 10 x )}{e ^{10 y}}

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

Solution steps

\frac{d y}{d x} = \frac{cos ( 10 x )}{e ^{10 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

x \to 0 lim (\frac{2 ^{x}}{3 ^{x}})

\frac{\partial}{\partial x} (ln (3 x + 5 y))

x \to 0 lim (\frac{x ^{2}}{x ^{2} + 1})

\int_{1}^{2} \frac{9}{x ^{3} + 5 x} d x

\int 15 tan^{3} (x) d x

What is the solution for (dy)/(dx)=(cos(10x))/(e^{10y)} ?
The solution for (dy)/(dx)=(cos(10x))/(e^{10y)} is y=(ln(sin(10x)+c_{1}))/(10)