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

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

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2sqrt(x)((dy)/(dx))=cos^2(y)

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

y = arctan (x + c_{1}) + πn

Solution steps

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

Solve separable ODE:

y = arctan (x + c_{1}) + πn

y = arctan (x + c_{1}) + πn

\int \frac{1}{( x ^{2} + 21 ) ^{3}} d x

\int \frac{3}{x + 1} d x

x ln (x) = y (1 + 24 + y^{2}) y^{^{'}} (x), y (1) = 1

\int (2 x + 2) d x

f (x) = x^{n}

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