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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

integral of 2x^2

\int 2 x^{2} d x

tangent sqrt(x)+1/(sqrt(x^3))(1.2)

t an g e n t x + \frac{1}{x ^{3}} (1.2)

(\partial)/(\partial y)(3x^3y^2)

\frac{\partial}{\partial y} (3 x^{3} y^{2})

derivative of x(1-x)

\frac{d}{d x} (x (1 - x))

d/(dt)(sin(t^2))

\frac{d}{d t} (sin (t^{2}))