(dy)/(dx)=((sec(y)))/((x-1)^2)

解答

\frac{d y}{d x} = \frac{( sec ( y ) )}{( x - 1 ) ^{2}}

y = arcsin (- \frac{1}{x - 1} + c_{1}) + 2 πn, y = π + arcsin (\frac{1}{x - 1} - c_{1}) + 2 πn

求解步骤

\frac{d y}{d x} = \frac{( sec ( y ) )}{( x - 1 ) ^{2}}

求解可分离方程:

y = arcsin (- \frac{1}{x - 1} + c_{1}) + 2 πn, y = π + arcsin (\frac{1}{x - 1} - c_{1}) + 2 πn

y = arcsin (- \frac{1}{x - 1} + c_{1}) + 2 πn, y = π + arcsin (\frac{1}{x - 1} - c_{1}) + 2 πn

\int_{0}^{π} sin^{5} (x) d x

\int 3 x + \frac{1}{3 x} d x

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