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

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(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

\int_{0}^{\frac{π}{22}} tan (11 x) d x

\frac{d y}{d x} + y^{3} x + 9 y = 0

x \to 7 lim (f (x) g (x))

\int x^{- \frac{2}{5}} d x

\frac{d}{d x} (se x (x))

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