(xsec(y/x)+y)dx-xdy=0

解

(x sec (\frac{y}{x}) + y) d x - x d y = 0

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

解答ステップ

(x sec (\frac{y}{x}) + y) d x - x d y = 0

置換を使用して解く:

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

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