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Beliebt Rechnen >

y^'+y=e^{-x}sqrt(x)

Lösung

y^{^{'}} + y = e^{- x} x

Lösung

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

Schritte zur Lösung

y^{'} (x) + y = e^{- x} x

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of (2x^2+7x+2)/((x^2+1)^2)

\int \frac{2 x ^{2} + 7 x + 2}{( x ^{2} + 1 ) ^{2}} d x

derivative of 3x^{2/3}-x

\frac{d}{d x} (3 x^{\frac{2}{3}} - x)

derivative of (2x+1^{-1})

\frac{d}{d x} ((2 x + 1)^{- 1})

integral of (arcsin(sqrt(x)))/(sqrt(x))

\int \frac{arcsin ( x )}{x} d x

y^{''}+16y^'+80y=0

y^{^{''}} + 16 y^{^{'}} + 80 y = 0