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Beliebt Rechnen >

(dy)/(dx)+6x^2y=e^{-2x^3}

Lösung

\frac{d y}{d x} + 6 x^{2} y = e^{- 2 x^{3}}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} + 6 x^{2} y = e^{- 2 x^{3}}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of arccsc(2x)

\frac{d}{d x} (arccsc (2 x))

(dy)/(dt)-3y=3e^{4t}

\frac{d y}{d t} - 3 y = 3 e^{4 t}

derivative y=2x^2log_{e}(x)-x^2

d er i v a t i v e y = 2 x^{2} lo g_{e} (x) - x^{2}

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

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

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\frac{d}{d x} (\frac{3}{4 x - 5})