What is the solution for (dy)/(dx)=(1+y^2)tan(x),y(0)=sqrt(3) ?

The solution for (dy)/(dx)=(1+y^2)tan(x),y(0)=sqrt(3) is y=tan(-ln(cos(x))+pi/3)

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(dy)/(dx)=(1+y^2)tan(x),y(0)=sqrt(3)

\frac{d y}{d x} = (1 + y^{2}) tan (x), y (0) = 3

y = tan (- ln (cos (x)) + \frac{π}{3})

Solution steps

\frac{d y}{d x} = (1 + y^{2}) tan (x)

Solve separable ODE:

y = tan (- ln (cos (x)) + \frac{π}{3})

y = tan (- ln (cos (x)) + \frac{π}{3})

What is the solution for (dy)/(dx)=(1+y^2)tan(x),y(0)=sqrt(3) ?
The solution for (dy)/(dx)=(1+y^2)tan(x),y(0)=sqrt(3) is y=tan(-ln(cos(x))+pi/3)