What is the solution for (dy)/(dx)+ycos(x)=8cos(x),y(0)=10 ?

The solution for (dy)/(dx)+ycos(x)=8cos(x),y(0)=10 is y=2e^{-sin(x)}+8

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(dy)/(dx)+ycos(x)=8cos(x),y(0)=10

\frac{d y}{d x} + y cos (x) = 8 cos (x), y (0) = 10

y = 2 e^{- s i n (x)} + 8

Solution steps

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

Solve separable ODE:

y = 2 e^{- s i n (x)} + 8

y = 2 e^{- s i n (x)} + 8

(x + 1) d t - (x t - x) d x = 0

\frac{d y}{d x} = e^{- 5 y} cos (4 x)

\frac{d y}{d x} = \frac{2}{3} x 1 - 9 y^{2}

(1 + 2 y) d x + (4 - x^{2}) d y = 0

\frac{d y}{d x} = - k y^{2}

What is the solution for (dy)/(dx)+ycos(x)=8cos(x),y(0)=10 ?
The solution for (dy)/(dx)+ycos(x)=8cos(x),y(0)=10 is y=2e^{-sin(x)}+8