What is the solution for sinh(x)dx+y^{-1}cosh(x)dy=0 ?

The solution for sinh(x)dx+y^{-1}cosh(x)dy=0 is y=(c_{1})/(cosh(x))

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sinh(x)dx+y^{-1}cosh(x)dy=0

sinh (x) d x + y^{- 1} cosh (x) d y = 0

y = \frac{c _{1}}{cosh ( x )}

Solution steps

sinh (x) d x + y^{- 1} cosh (x) d y = 0

Solve separable ODE:

y = \frac{c _{1}}{cosh ( x )}

y = \frac{c _{1}}{cosh ( x )}

\frac{d y}{d x} = \frac{2 cos ( 2 x )}{3 + 2 y}

\frac{d y}{d x} = \frac{- x}{y - 3}

\frac{d y}{d x} = 7 x y, y \neq = 0

r^{^{'}} + 2 t r = r, r (0) = 2

\frac{d y}{d x} + \frac{x}{y} = 0, y = 1 - x^{2}

What is the solution for sinh(x)dx+y^{-1}cosh(x)dy=0 ?
The solution for sinh(x)dx+y^{-1}cosh(x)dy=0 is y=(c_{1})/(cosh(x))