What is the solution for (dy)/(dx)+ycos(x)=6cos(x),y(0)=8 ?

The solution for (dy)/(dx)+ycos(x)=6cos(x),y(0)=8 is y=2e^{-sin(x)}+6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)+ycos(x)=6cos(x),y(0)=8

\frac{d y}{d x} + y cos (x) = 6 cos (x), y (0) = 8

y = 2 e^{- s i n (x)} + 6

Solution steps

\frac{d y}{d x} + y cos (x) = 6 cos (x)

Solve separable ODE:

y = 2 e^{- s i n (x)} + 6

y = 2 e^{- s i n (x)} + 6

What is the solution for (dy)/(dx)+ycos(x)=6cos(x),y(0)=8 ?
The solution for (dy)/(dx)+ycos(x)=6cos(x),y(0)=8 is y=2e^{-sin(x)}+6