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Beliebt Rechnen >

y^{''}+y^'=8

Lösung

y^{^{''}} + y^{^{'}} = 8

Lösung

y = c_{1} + c_{2} e^{- t} + 8 t

Schritte zur Lösung

y^{''} (t) + y^{'} (t) = 8

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + 8 t

y = c_{1} + c_{2} e^{- t} + 8 t

Graph

Beliebte Beispiele

x^{''}-4x^'+4x=e^tsin(t)

x^{^{''}} - 4 x^{^{'}} + 4 x = e^{t} sin (t)

x^{''}-8x^'+16x=3te^{4t}

x^{^{''}} - 8 x^{^{'}} + 16 x = 3 t e^{4 t}

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

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

y^{''}+3y^'+7y=cos(t),y(0)=0,y^'(0)=2

y^{^{''}} + 3 y^{^{'}} + 7 y = cos (t), y (0) = 0, y^{^{'}} (0) = 2

y^{''}+3y^'-4y=2,y(0)=0,y(0)=0

y^{^{''}} + 3 y^{^{'}} - 4 y = 2, y (0) = 0, y (0) = 0