What is the solution for (dy)/(dx)+ycos(x)=3cos(x),y(0)=5 ?

The solution for (dy)/(dx)+ycos(x)=3cos(x),y(0)=5 is y=2e^{-sin(x)}+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+ycos(x)=3cos(x),y(0)=5

\frac{d y}{d x} + y cos (x) = 3 cos (x), y (0) = 5

y = 2 e^{- s i n (x)} + 3

Solution steps

\frac{d y}{d x} + y cos (x) = 3 cos (x)

Solve separable ODE:

y = 2 e^{- s i n (x)} + 3

y = 2 e^{- s i n (x)} + 3

y = 4 x - x^{2}, y = x

f (x) = \frac{5}{x}, at x = \frac{1}{16}

\int \frac{( 2 t ^{2} + t t - 1 )}{t ^{2}} d t

\frac{d x}{d t} + 8 x = 0

\frac{d}{d x} (4 x (sin (x) + cos (x)))

What is the solution for (dy)/(dx)+ycos(x)=3cos(x),y(0)=5 ?
The solution for (dy)/(dx)+ycos(x)=3cos(x),y(0)=5 is y=2e^{-sin(x)}+3