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Beliebt Rechnen >

(dy)/(dx)=(x+xy)/(1+x^2)

Lösung

\frac{d y}{d x} = \frac{x + x y}{1 + x ^{2}}

Lösung

y = c_{1} 1 + x^{2} - 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{x + x y}{1 + x ^{2}}

Solve separable ODE:

y = c_{1} 1 + x^{2} - 1

y = c_{1} 1 + x^{2} - 1

Graph

Beliebte Beispiele

(dy)/(dx)-y/4 =0

\frac{d y}{d x} - \frac{y}{4} = 0

y^'-y=0,y(0)=cosh(3t),y(0)=1

y^{^{'}} - y = 0, y (0) = cosh (3 t), y (0) = 1

(dy)/(dx)=4x(9-y^2)^{1/2}

\frac{d y}{d x} = 4 x (9 - y^{2})^{\frac{1}{2}}

(10x-1)y^'+10y=0

(10 x - 1) y^{^{'}} + 10 y = 0

y^'=e^{2y-x},y(0)=-1

y^{^{'}} = e^{2 y - x}, y (0) = - 1