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Beliebt Rechnen >

y^'=3x(1-y)

Lösung

y^{^{'}} = 3 x (1 - y)

Lösung

y = - e^{- \frac{3 x ^{2}}{2} - c_{1}} + 1

Schritte zur Lösung

y^{'} (x) = 3 x (1 - y)

Solve separable ODE:

y = - e^{- \frac{3 x ^{2}}{2} - c_{1}} + 1

y = - e^{- \frac{3 x ^{2}}{2} - c_{1}} + 1

Graph

Beliebte Beispiele

(dz)/(dt)=6te^{5z},t(0)=0

\frac{d z}{d t} = 6 t e^{5 z}, t (0) = 0

(dx}{dy}=\frac{4xln(x))/y

\frac{d x}{d y} = \frac{4 x ln ( x )}{y}

(dx)/(dt)= 3/(xe^{t+6x)}

\frac{d x}{d t} = \frac{3}{x e ^{t + 6 x}}

y^'+2xy^2=0,y(1/2)=-4

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

y^'csc(t)=(-y^{15})/(14)

y^{^{'}} csc (t) = \frac{- y ^{15}}{14}