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Beliebt Rechnen >

f^'(x)-2f(x)(x^2e^x)=0

Lösung

f^{^{'}} (x) - 2 f (x) (x^{2} e^{x}) = 0

Lösung

f (x) = e^{2 (x^{2} e^{x} - 2 (e^{x} x - e^{x})) + c_{1}}

Schritte zur Lösung

f^{'} (x) - 2 f (x) (x^{2} e^{x}) = 0

Solve separable ODE:

f (x) = e^{2 (x^{2} e^{x} - 2 (e^{x} x - e^{x})) + c_{1}}

f (x) = e^{2 (x^{2} e^{x} - 2 (e^{x} x - e^{x})) + c_{1}}

Graph

Beliebte Beispiele

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

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

(dy)/(dx)=sqrt(yx),y(1)=7

\frac{d y}{d x} = y x, y (1) = 7

(dy}{dx}=\frac{(4xe^{x^2}))/y ,y(0)=3

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

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

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

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

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