(dy)/(dx)=(ysin(x))/(y+1)

Lösung

\frac{d y}{d x} = \frac{y sin ( x )}{y + 1}

y = W (\frac{1}{e ^{c o s (x) - c_{1}}})

Schritte zur Lösung

\frac{d y}{d x} = \frac{y sin ( x )}{y + 1}

Solve separable ODE:

y = W (\frac{1}{e ^{c o s (x) - c_{1}}})

y = W (\frac{1}{e ^{c o s (x) - c_{1}}})

y y^{^{'}} + 2 x^{2} = 0

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

d y = 3 x^{2} (4 - y) d x

y - y^{^{'}} - 6 y = 18

\frac{d y}{d x} = \frac{1 + x}{x y}