What is the solution for (dy)/(dx)=(1+y^2)/(3+7x) ?

The solution for (dy)/(dx)=(1+y^2)/(3+7x) is y=tan(1/7 ln(3+7x)+c_{1})

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(dy)/(dx)=(1+y^2)/(3+7x)

\frac{d y}{d x} = \frac{1 + y ^{2}}{3 + 7 x}

y = tan (\frac{1}{7} ln (3 + 7 x) + c_{1})

Solution steps

\frac{d y}{d x} = \frac{1 + y ^{2}}{3 + 7 x}

Solve separable ODE:

y = tan (\frac{1}{7} ln (3 + 7 x) + c_{1})

y = tan (\frac{1}{7} ln (3 + 7 x) + c_{1})

What is the solution for (dy)/(dx)=(1+y^2)/(3+7x) ?
The solution for (dy)/(dx)=(1+y^2)/(3+7x) is y=tan(1/7 ln(3+7x)+c_{1})