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

The solution for (dy)/(dx)+ycos(x)=7cos(x) is y=e^{-sin(x)+c_{1}}+7

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(dy)/(dx)+ycos(x)=7cos(x)

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

y = e^{- s i n (x) + c_{1}} + 7

Solution steps

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

Solve separable ODE:

y = e^{- s i n (x) + c_{1}} + 7

y = e^{- s i n (x) + c_{1}} + 7

\frac{\partial}{\partial x} (x^{2} + 4 x y + y^{6} - 8)

\frac{d}{d x} (4 x^{2} e^{2 x^{2} + x - 1})

x \to - 3 lim (3 x^{2} + 5 x + 1)

\frac{d}{d x} ((3 x^{3} - 2 x^{2}) (3 x^{4} + x^{2}))

\int_{- a}^{a} a^{2} - x^{2} d x

What is the solution for (dy)/(dx)+ycos(x)=7cos(x) ?
The solution for (dy)/(dx)+ycos(x)=7cos(x) is y=e^{-sin(x)+c_{1}}+7