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Beliebt Rechnen >

(dy)/(dx)=-6x^2y+9x^2

Lösung

\frac{d y}{d x} = - 6 x^{2} y + 9 x^{2}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = - 6 x^{2} y + 9 x^{2}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'tan(x)=a+y,y(pi/3)=a

y^{^{'}} tan (x) = a + y, y (\frac{π}{3}) = a

y^'+x^3y=3x^3,y(0)=8

y^{^{'}} + x^{3} y = 3 x^{3}, y (0) = 8

(dP)/(dt)=0.062P

\frac{d P}{d t} = 0.062 P

y^'=(4cos(4x))/(3+2y),y(0)=-1

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

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

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