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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

2y^{''}-2y^'+13y=0

2 y^{^{''}} - 2 y^{^{'}} + 13 y = 0

integral of 1/(5000x-x^2)

\int \frac{1}{5000 x - x ^{2}} d x

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\int_{0}^{9} 2 x + 8 - x d x

integral from 0 to pi/4 of 1-4sin^2(x)

\int_{0}^{\frac{π}{4}} 1 - 4 sin^{2} (x) d x

integral of 2usin(u)

\int 2 u sin (u) d u