What is the solution for (dy)/(dx)=8x^7cos^2(y) ?

The solution for (dy)/(dx)=8x^7cos^2(y) is y=arctan(x^8+c_{1})+pin

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(dy)/(dx)=8x^7cos^2(y)

\frac{d y}{d x} = 8 x^{7} cos^{2} (y)

y = arctan (x^{8} + c_{1}) + πn

Solution steps

\frac{d y}{d x} = 8 x^{7} cos^{2} (y)

Solve separable ODE:

y = arctan (x^{8} + c_{1}) + πn

y = arctan (x^{8} + c_{1}) + πn

f (x) = 8 (x^{3} - x)^{4}

y^{^{''}} + 2 y = 10

\frac{( s + 1 )}{s ^{2} + s + 1}

\frac{d y}{d x} = x e^{- y}

\int_{7}^{15} ln (x^{2}) d x

What is the solution for (dy)/(dx)=8x^7cos^2(y) ?
The solution for (dy)/(dx)=8x^7cos^2(y) is y=arctan(x^8+c_{1})+pin