What is the solution for (dx)/(dy)=sin(5x) ?

The solution for (dx)/(dy)=sin(5x) is x=(2arctan(e^{5y+c_{1}}))/5+(2pin)/5

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(dx)/(dy)=sin(5x)

\frac{d x}{d y} = sin (5 x)

x = \frac{2 arctan ( e ^{5 y + c_{1}} )}{5} + \frac{2 πn}{5}

Solution steps

\frac{d x}{d y} = sin (5 x)

Solve separable ODE:

x = \frac{2 arctan ( e ^{5 y + c_{1}} )}{5} + \frac{2 πn}{5}

x = \frac{2 arctan ( e ^{5 y + c_{1}} )}{5} + \frac{2 πn}{5}

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

\frac{d y}{d t} = 2 t cos^{2} (y), y (0) = \frac{π}{4}

(x + H (x) x) d x + x (H (x) d x + x d H (x)) = 0

\frac{d y}{d x} = - \frac{x}{y ^{2}}

y^{^{'}} 1 - x^{2} + 1 - y^{2} = 0

What is the solution for (dx)/(dy)=sin(5x) ?
The solution for (dx)/(dy)=sin(5x) is x=(2arctan(e^{5y+c_{1}}))/5+(2pin)/5