What is the solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 ?

The solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 is y=ln(csc(x)+c_{1})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0

e^{- y} cos (x) + \frac{d y}{d x} sin^{2} (x) = 0

y = ln (csc (x) + c_{1})

Solution steps

e^{- y} cos (x) + \frac{d y}{d x} sin^{2} (x) = 0

Solve separable ODE:

y = ln (csc (x) + c_{1})

y = ln (csc (x) + c_{1})

What is the solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 ?
The solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 is y=ln(csc(x)+c_{1})