y^{-1}dy+ye^{cos(x)}sin(x)dx=0

Lösung

y^{- 1} d y + y e^{c o s (x)} sin (x) d x = 0

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

Schritte zur Lösung

y^{- 1} d y + y e^{c o s (x)} sin (x) d x = 0

Solve separable ODE:

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

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

P^{^{'}} = P (1 - \frac{P}{10})

y^{^{'}} = x^{3} y^{2}

\frac{d y}{d x} + y x sin (x) = 0

\frac{d y}{d x} = - \frac{y}{x}, y (1) = 3

2 y^{^{'}} + 10 y = 1