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Beliebt Rechnen >

y^{''}+2y^'=0,y(0)=-3,y^'(0)=12

Lösung

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = - 3, y^{^{'}} (0) = 12

Lösung

y = - 6 e^{- 2 t} + 3

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) = 0

Solve linear ODE:

y = - 6 e^{- 2 t} + 3

y = - 6 e^{- 2 t} + 3

Graph

Beliebte Beispiele

0.5x^{''}+0.5x^'+6x=0,x(0)=3,x^'(0)=0

0.5 x^{^{''}} + 0.5 x^{^{'}} + 6 x = 0, x (0) = 3, x^{^{'}} (0) = 0

y^{^{''}} - 144 y = 0

y^{''''}+4y^{'''}+8y^{''}+16y^'+16y=0

y^{^{''''}} + 4 y^{^{'''}} + 8 y^{^{''}} + 16 y^{^{'}} + 16 y = 0

(d^2y)/(dx^2)+6(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 6 y = 0

y^{'''}-17y^{''}+80y^'-100y=0

y^{^{'''}} - 17 y^{^{''}} + 80 y^{^{'}} - 100 y = 0