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

arccos (x^{\frac{1}{2}})

4 x^{3} + e^{16 x} - 3^{2 x - 1}

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

- x^{4} + 2 x^{3} - 5 x^{2} + 0.4

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