What is the solution for (dy)/(dx)=(cos(20x))/(e^{20y)} ?

The solution for (dy)/(dx)=(cos(20x))/(e^{20y)} is y=(ln(sin(20x)+c_{1}))/(20)

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(dy)/(dx)=(cos(20x))/(e^{20y)}

\frac{d y}{d x} = \frac{cos ( 20 x )}{e ^{20 y}}

y = \frac{ln ( sin ( 20 x ) + c _{1} )}{20}

Solution steps

\frac{d y}{d x} = \frac{cos ( 20 x )}{e ^{20 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 20 x ) + c _{1} )}{20}

y = \frac{ln ( sin ( 20 x ) + c _{1} )}{20}

\int t sin (t^{2}) cos (t^{2}) d t

8 - x, x, [0, 4]

n = 7 \sum \infty \frac{5}{3 n + 7}

y = csc (x) - cot (x)

n = 1 \sum \infty n^{2} x^{n}

What is the solution for (dy)/(dx)=(cos(20x))/(e^{20y)} ?
The solution for (dy)/(dx)=(cos(20x))/(e^{20y)} is y=(ln(sin(20x)+c_{1}))/(20)