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

x \to 0 + lim (\frac{5}{1 + x})

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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