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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2} + e ^{- 2 x} x}{2} + x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2} + e ^{- 2 x} x}{2} + x

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{2} + e ^{- 2 x} x}{2} + x

Graph

Beliebte Beispiele

integral of (1/2)/(sqrt(4-3x^2))

\int \frac{\frac{1}{2}}{4 - 3 x ^{2}} d x

integral of sec^2(θ)tan^6(θ)

\int sec^{2} (θ) tan^{6} (θ) d θ

derivative e^p(p+psqrt(p))

d er i v a t i v e e^{p} (p + p p)

y^{^{'}} - a \cdot y + b = 0

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

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