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

Lösung

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

y^{^{'}} + 4 y = 20

\frac{d p}{d t} = 2 - p

x^{^{'}} = - 4 x

cos^{3} (y) \frac{d y}{d x} = x csc (y)