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Beliebt Rechnen >

(d^2x)/(dt^2)+2(dx)/(dt)+2x=2

Lösung

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 2 x = 2

Lösung

x = e^{- t} (c_{1} cos (t) + c_{2} sin (t)) + 1

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 2 x = 2

Solve linear ODE:

x = e^{- t} (c_{1} cos (t) + c_{2} sin (t)) + 1

x = e^{- t} (c_{1} cos (t) + c_{2} sin (t)) + 1

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+(dy)/(dx)-y=xsinh(x)

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - y = x sinh (x)

linear y^{''}+y=sin(x)

l in e a r y^{^{''}} + y = sin (x)

y^{'''}+12y^{''}+48y^'+64y=4e^{-4x}

y^{^{'''}} + 12 y^{^{''}} + 48 y^{^{'}} + 64 y = 4 e^{- 4 x}

(D^2+9)y=cos^2(x)

(D^{2} + 9) y = cos^{2} (x)

xy^{''}+xy^'=x^3

x y^{^{''}} + x y^{^{'}} = x^{3}