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Beliebt Rechnen >

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

Lösung

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

Lösung

y = 2 ln (1 + x^{2}) + 4

Schritte zur Lösung

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

Solve separable ODE:

y = 2 ln (1 + x^{2}) + 4

y = 2 ln (1 + x^{2}) + 4

Graph

Beliebte Beispiele

y^{^{'}} = - \frac{y}{a} + b

y^{^{'}} = y - 12

(dx)/(dy)=k(150-2x)

\frac{d x}{d y} = k (150 - 2 x)

(ln(y))^2(dy)/(dx)=x^2y,y(1)=e^2

(ln (y))^{2} \frac{d y}{d x} = x^{2} y, y (1) = e^{2}

x(xz)+(xz)^2dx-x^2(xdz+zdx)=0

x (x z) + (x z)^{2} d x - x^{2} (x d z + z d x) = 0