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

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(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

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

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

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

\frac{d y}{d x} = \frac{x - 1}{y ^{3}}

\int \frac{( ln ( x ) ) ^{32}}{x} d 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