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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} + 3 x^{2} y = sin (x) e^{- x^{3}}

Lösung

y = - \frac{cos ( x )}{e ^{x^{3}}} + \frac{c _{1}}{e ^{x^{3}}}

Schritte zur Lösung

\frac{d y}{d x} + 3 x^{2} y = sin (x) e^{- x^{3}}

Solve linear ODE:

y = - \frac{cos ( x )}{e ^{x^{3}}} + \frac{c _{1}}{e ^{x^{3}}}

y = - \frac{cos ( x )}{e ^{x^{3}}} + \frac{c _{1}}{e ^{x^{3}}}

Graph

Beliebte Beispiele

implicit cos(xy)=1+sin(y)

im pl i c i t cos (x y) = 1 + sin (y)

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\frac{d}{d x} (4 e^{3 x^{2}})

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d er i v a t i v e \frac{2 x ^{3} + 5}{4 x ^{2} + 7}

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d er i v a t i v e - \frac{1}{4} (x^{- 4} - x^{8})