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Beliebt Rechnen >

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

Lösung

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

Lösung

y = x^{2} + 2 ln (x) + c_{1}, y = - x^{2} + 2 ln (x) + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = x^{2} + 2 ln (x) + c_{1}, y = - x^{2} + 2 ln (x) + c_{1}

y = x^{2} + 2 ln (x) + c_{1}, y = - x^{2} + 2 ln (x) + c_{1}

Graph

Beliebte Beispiele

(y-1)sin(x)dx-dy=0

(y - 1) sin (x) d x - d y = 0

(dy)/(dx)=1+y^2,y(0)=0

\frac{d y}{d x} = 1 + y^{2}, y (0) = 0

(dy)/(dx)+5xe^y=0

\frac{d y}{d x} + 5 x e^{y} = 0

e^{y} y^{^{'}} - x^{2} = 0

y(169-x^2)^{1/2}dy=(169+y^2)^{1/2}dx

y (169 - x^{2})^{\frac{1}{2}} d y = (169 + y^{2})^{\frac{1}{2}} d x