What is the solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 ?

The solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 is y=2e^{-sin(x)}+2

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(dy)/(dx)+ycos(x)=2cos(x),y(0)=4

\frac{d y}{d x} + y cos (x) = 2 cos (x), y (0) = 4

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

Solution steps

\frac{d y}{d x} + y cos (x) = 2 cos (x)

Solve separable ODE:

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

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

d er i v a t i v e sec (θ)

\int 4 x ln (2 x) d x

\int sin^{3} (θ) cos^{4} (θ) d θ

\frac{d y}{d x} = \frac{y + x ^{2} + y ^{2}}{x}

\frac{d}{d x} ((2 x^{3} - 5) (x^{2} - 5 ln (x)))

What is the solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 ?
The solution for (dy)/(dx)+ycos(x)=2cos(x),y(0)=4 is y=2e^{-sin(x)}+2