3xsin(x)dx+cos(y)dy=0

Lösung

3 x sin (x) d x + cos (y) d y = 0

y = arcsin (- 3 (- x cos (x) + sin (x)) + c_{1}) + 2 πn, y = π + arcsin (3 (- x cos (x) + sin (x)) - c_{1}) + 2 πn

Schritte zur Lösung

3 x sin (x) d x + cos (y) d y = 0

Solve separable ODE:

y = arcsin (- 3 (- x cos (x) + sin (x)) + c_{1}) + 2 πn, y = π + arcsin (3 (- x cos (x) + sin (x)) - c_{1}) + 2 πn

y = arcsin (- 3 (- x cos (x) + sin (x)) + c_{1}) + 2 πn, y = π + arcsin (3 (- x cos (x) + sin (x)) - c_{1}) + 2 πn

y^{^{'}} = 2 x y^{2}, y (0) = \frac{1}{( 4 - x ^{2} )}

(x - 8)^{2} \frac{d y}{d x} = (7 - y)^{2}

y^{^{'}} = b - b \cdot y - a \cdot y

\frac{d x}{d y} = \frac{e ^{- 2 y}}{x ^{2} + 4}

\frac{d y}{d x} = \frac{x y}{ln ( y )}, y > 1