What is the solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 ?

The solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 is y=2e^{-sin(x)}+2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+ycos(x)=2cos(x),y(0)=4

\frac{d y}{d x} + y cos (x) = 2 cos (x), y (0) = 4

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

Solution steps

\frac{d y}{d x} + y cos (x) = 2 cos (x)

Solve separable ODE:

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

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

f (x) = sin (x) ln (2 x)

sec (θ)

\frac{\partial}{\partial y} (2 x^{3} y^{2})

\int 4 x ln (2 x) d x

f (x) = x^{2} - 5 x + 5, at x = a

What is the solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 ?
The solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 is y=2e^{-sin(x)}+2