What is the solution for (dy)/(dx)=cos(y-x) ?

The solution for (dy)/(dx)=cos(y-x) is y=2arccot(x+c_{1})+2pin+x

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(dy)/(dx)=cos(y-x)

\frac{d y}{d x} = cos (y - x)

y = 2 arccot (x + c_{1}) + 2 πn + x

Solution steps

\frac{d y}{d x} = cos (y - x)

Solve using substitution:

y = 2 arccot (x + c_{1}) + 2 πn + x

y = 2 arccot (x + c_{1}) + 2 πn + x

\int_{0}^{N} e^{- s t} sin (5 t) d t

\frac{1}{s ( 2 s + 1 )}

\frac{d}{d x} (se x + cos (x))

\int 2 x (x^{2} + 1)^{6} d x

\frac{d}{d x} (cos (e^{- 5 x^{5}}))

What is the solution for (dy)/(dx)=cos(y-x) ?
The solution for (dy)/(dx)=cos(y-x) is y=2arccot(x+c_{1})+2pin+x