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Beliebt Rechnen >

(dy)/(dx)=(1+x+x^2)y

Lösung

\frac{d y}{d x} = (1 + x + x^{2}) y

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = (1 + x + x^{2}) y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^{^{'}} = 7 e^{3 x - 5 y}

(dV)/(dt)=(10-4/100 V),V(0)=0

\frac{d V}{d t} = (10 - \frac{4}{100} V), V (0) = 0

ye^x(dy)/(dx)=e^{-y}+e^{-3x-y}

y e^{x} \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

y=((x+1)^3)/(x^{3/2)}(dy)/(dx)

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

y^{^{'}} = y^{3} e^{- x}