xsin(y)+(x^2+1)cos(y)y^'=0

Lösung

x sin (y) + (x^{2} + 1) cos (y) y^{^{'}} = 0

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

Schritte zur Lösung

x sin (y) + (x^{2} + 1) cos (y) y^{'} (x) = 0

Solve separable ODE:

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

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

x^{2} (x d y + y d x) = 7 x d y - 7 y d x

e^{x} y \frac{d y}{d x} = e^{- y} + \frac{e ^{- 2 x}}{e ^{y}}

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

y^{^{'}} = e^{y} sin (t)

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