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Beliebt Rechnen >

x^4y^'+3x^3y=x^2e^x

Lösung

x^{4} y^{^{'}} + 3 x^{3} y = x^{2} e^{x}

Lösung

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

Schritte zur Lösung

x^{4} y^{'} (x) + 3 x^{3} y = x^{2} e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of (3x-9/(2x+4))

\frac{d}{d x} (\frac{3 x - 9}{2 x + 4})

integral of 1/(sqrt(16x^2+25))

\int \frac{1}{16 x ^{2} + 25} d x

integral of sqrt(15-2x-x^2)

\int 15 - 2 x - x^{2} d x

(dy)/(dt)+k(340-y)=0

\frac{d y}{d t} + k (340 - y) = 0

laplacetransform e

l a pl a ce t r an s f or m e