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Beliebt Rechnen >

y^{''}-2y^'-195y=0,y(0)=10,y^'(0)=-46

Lösung

y^{^{''}} - 2 y^{^{'}} - 195 y = 0, y (0) = 10, y^{^{'}} (0) = - 46

Lösung

y = 3 e^{15 t} + 7 e^{- 13 t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 195 y = 0

Solve linear ODE:

y = 3 e^{15 t} + 7 e^{- 13 t}

y = 3 e^{15 t} + 7 e^{- 13 t}

Graph

Beliebte Beispiele

y^{'''}+8y^{''}+7y^'=0

y^{^{'''}} + 8 y^{^{''}} + 7 y^{^{'}} = 0

4/(9.8)y^{''}+0.4y^'+4y=0

\frac{4}{9.8} y^{^{''}} + 0.4 y^{^{'}} + 4 y = 0

((d^2y)/(dx^2)-6(dy)/(dx)+9y)^2=0

(\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y)^{2} = 0

y^{''}+12y^'+36y=0,y^'(0)=0,y(0)=5

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y^{^{'}} (0) = 0, y (0) = 5

100y^{''}+125y^'+100y=0

100 y^{^{''}} + 125 y^{^{'}} + 100 y = 0