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Beliebt Rechnen >

(D^2+2D+1)y=2x+x^2

Lösung

(D^{2} + 2 D + 1) y = 2 x + x^{2}

Lösung

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

Schritte zur Lösung

(D^{2} + 2 D + 1) y = 2 x + x^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+5y=5\H(t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 5 H (t)

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

y^{^{''}} + 3 \cdot y^{^{'}} + 2 \cdot y = x

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

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

(d^2x)/(dt^2)+(dx)/(dt)+x=1,x(0)=0

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1, x (0) = 0

y^{''}-y^'+y=14sin(t)

y^{^{''}} - y^{^{'}} + y = 14 sin (t)