What is the solution for (dy)/(dx)x*cos(y)=1 ?

The solution for (dy)/(dx)x*cos(y)=1 is y=arcsin(ln(x)+c_{1})+2pin,y=pi+arcsin(-ln(x)-c_{1})+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)x*cos(y)=1

\frac{d y}{d x} x \cdot cos (y) = 1

y = arcsin (ln (x) + c_{1}) + 2 πn, y = π + arcsin (- ln (x) - c_{1}) + 2 πn

Solution steps

\frac{d y}{d x} x \cdot cos (y) = 1

Solve separable ODE:

y = arcsin (ln (x) + c_{1}) + 2 πn, y = π + arcsin (- ln (x) - c_{1}) + 2 πn

y = arcsin (ln (x) + c_{1}) + 2 πn, y = π + arcsin (- ln (x) - c_{1}) + 2 πn

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