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Beliebt Rechnen >

(dy)/(dx)=-y(x^2-7)

Lösung

\frac{d y}{d x} = - y (x^{2} - 7)

Lösung

y = e^{- \frac{x ^{3}}{3} + 7 x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = - y (x^{2} - 7)

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + 7 x + c_{1}}

y = e^{- \frac{x ^{3}}{3} + 7 x + c_{1}}

Graph

Beliebte Beispiele

1/y*(dy)/(dt)=0.02

\frac{1}{y} \cdot \frac{d y}{d t} = 0.02

y(dx)/(dy)-x=2,y^2y(1)=5

y \frac{d x}{d y} - x = 2, y^{2} y (1) = 5

y^'+1/2 (x-2)y^2=0,y(1/10)=6

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0, y (\frac{1}{10}) = 6

(3y^2-3)dx+(5xy)dy=0

(3 y^{2} - 3) d x + (5 x y) d y = 0

sqrt(x-1)(dy)/(dx)= x/y ,y=1,y>0,x=2

x - 1 \frac{d y}{d x} = \frac{x}{y}, y = 1, y > 0, x = 2