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

解答

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

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

求解步骤

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

求解可分离方程:

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

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

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