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Beliebt Rechnen >

cos(y)(dy)/(dx)=(-xsin(y))/(1+x^2)

Lösung

cos (y) \frac{d y}{d x} = \frac{- x sin ( y )}{1 + x ^{2}}

Lösung

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

Schritte zur Lösung

cos (y) \frac{d y}{d x} = \frac{- x sin ( y )}{1 + x ^{2}}

Solve separable ODE:

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

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

Graph

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