x(dy)/(dx)=yx-xycos(x)

Lösung

x \frac{d y}{d x} = y x - x y cos (x)

y = e^{- s i n (x) + x + c_{1}}

Schritte zur Lösung

x \frac{d y}{d x} = y x - x y cos (x)

Solve separable ODE:

y = e^{- s i n (x) + x + c_{1}}

y = e^{- s i n (x) + x + c_{1}}

y^{^{'}} + 20 x y = 0

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

y^{^{'}} = 4 e^{3 x} e^{- 2 y}

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

\frac{( x ^{2} + 4 ) d y}{d x} + 3 x y = x