What is the solution for (dy)/(dx)+ycos(x)=7cos(x),y(0)=9 ?

The solution for (dy)/(dx)+ycos(x)=7cos(x),y(0)=9 is y=2e^{-sin(x)}+7

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(dy)/(dx)+ycos(x)=7cos(x),y(0)=9

\frac{d y}{d x} + y cos (x) = 7 cos (x), y (0) = 9

y = 2 e^{- s i n (x)} + 7

Solution steps

\frac{d y}{d x} + y cos (x) = 7 cos (x)

Solve separable ODE:

y = 2 e^{- s i n (x)} + 7

y = 2 e^{- s i n (x)} + 7

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What is the solution for (dy)/(dx)+ycos(x)=7cos(x),y(0)=9 ?
The solution for (dy)/(dx)+ycos(x)=7cos(x),y(0)=9 is y=2e^{-sin(x)}+7