What is the solution for (1-ysin(x))dx+cos(x)dy=0 ?

The solution for (1-ysin(x))dx+cos(x)dy=0 is y=-x/(cos(x))+(c_{1})/(cos(x))

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(1-ysin(x))dx+cos(x)dy=0

(1 - y sin (x)) d x + cos (x) d y = 0

y = - \frac{x}{cos ( x )} + \frac{c _{1}}{cos ( x )}

Solution steps

(1 - y sin (x)) d x + cos (x) d y = 0

Solve linear ODE:

y = - \frac{x}{cos ( x )} + \frac{c _{1}}{cos ( x )}

y = - \frac{x}{cos ( x )} + \frac{c _{1}}{cos ( x )}

y = \frac{5}{x}

\int \frac{1}{x ^{2} - x + 1} d x

f (x) = ln (x + x^{2} + 1)

\int 49 - t^{2} d t

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