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Beliebt Rechnen >

y^'+2y=xe^{-2x}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative (4x-2)^3(x^2+1)^2

d er i v a t i v e (4 x - 2)^{3} (x^{2} + 1)^{2}

derivative f(x)=(45)/(0.01x^2+1)

d er i v a t i v e f (x) = \frac{45}{0.01 x ^{2} + 1}

laplacetransform cos^2(5t)

l a pl a ce t r an s f or m cos^{2} (5 t)

x^{''''}+8x^{''}+16x=0

x^{^{''''}} + 8 x^{^{''}} + 16 x = 0

25 y^{^{''}} + 9 y = 0