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Beliebt Rechnen >

(dy)/(dx)=(3x^2+4x+2)/(2y+1),y(0)=-1

Lösung

\frac{d y}{d x} = \frac{3 x ^{2} + 4 x + 2}{2 y + 1}, y (0) = - 1

Lösung

y = \frac{- 1 - 1 - 4 ( - 2 x - 2 x ^{2} - x ^{3} )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{3 x ^{2} + 4 x + 2}{2 y + 1}

Solve separable ODE:

y = \frac{- 1 - 1 - 4 ( - 2 x - 2 x ^{2} - x ^{3} )}{2}

y = \frac{- 1 - 1 - 4 ( - 2 x - 2 x ^{2} - x ^{3} )}{2}

Graph

Beliebte Beispiele

(dv)/(dt)=30-9/100 v,v=0,t=0

\frac{d v}{d t} = 30 - \frac{9}{100} v, v = 0, t = 0

(2y+2)dy-(4x^3+6)dx=0

(2 y + 2) d y - (4 x^{3} + 6) d x = 0

(2+y)dx-(x-1)dy=0

(2 + y) d x - (x - 1) d y = 0

\frac{y ^{^{'}}}{x} = y

(1+x^2)y^'+xe^{-y}=0

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