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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - \frac{4 e ^{- 3 x}}{3 x ^{3}} + \frac{c _{1}}{x ^{3}}

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{4 e ^{- 3 x}}{3 x ^{3}} + \frac{c _{1}}{x ^{3}}

y = - \frac{4 e ^{- 3 x}}{3 x ^{3}} + \frac{c _{1}}{x ^{3}}

Graph

Beliebte Beispiele

derivative of sqrt(x^2+4x)

\frac{d}{d x} (x^{2} + 4 x)

(dy}{dx}=\frac{2x(y+1))/y

\frac{d y}{d x} = \frac{2 x ( y + 1 )}{y}

derivative of 48

\frac{d}{d x} (48)

derivative of 2/(sqrt(4x+3))

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

y^{^{'}} + (x + 3) y^{2} = 0