What is the solution for (csc(y))dx+cos^2(x)dy=0 ?

The solution for (csc(y))dx+cos^2(x)dy=0 is y=arccos(tan(x)-c_{1})+2pin,y=-arccos(tan(x)-c_{1})+2pin

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(csc(y))dx+cos^2(x)dy=0

(csc (y)) d x + cos^{2} (x) d y = 0

y = arccos (tan (x) - c_{1}) + 2 πn, y = - arccos (tan (x) - c_{1}) + 2 πn

Solution steps

(csc (y)) d x + cos^{2} (x) d y = 0

Solve separable ODE:

y = arccos (tan (x) - c_{1}) + 2 πn, y = - arccos (tan (x) - c_{1}) + 2 πn

y = arccos (tan (x) - c_{1}) + 2 πn, y = - arccos (tan (x) - c_{1}) + 2 πn

(3 x - 2) \frac{d y}{d x} = (6 x - 1) y

(x^{2} + 36) y^{^{'}} + x y = x

\frac{d y}{d x} = - \frac{( x - 8 )}{64 y - 320}

csc (y) + sec^{2} (x) \frac{d y}{d x} = 0

(y + 5) d x + (x - 7) d y = 0

What is the solution for (csc(y))dx+cos^2(x)dy=0 ?
The solution for (csc(y))dx+cos^2(x)dy=0 is y=arccos(tan(x)-c_{1})+2pin,y=-arccos(tan(x)-c_{1})+2pin