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Beliebt Rechnen >

y^{''}-2y^'-7y=0

Lösung

y^{^{''}} - 2 y^{^{'}} - 7 y = 0

Lösung

y = c_{1} e^{(1 + 2^{1 + \frac{1}{2}}) t} + c_{2} e^{(1 - 2^{1 + \frac{1}{2}}) t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 7 y = 0

Solve linear ODE:

y = c_{1} e^{(1 + 2^{1 + \frac{1}{2}}) t} + c_{2} e^{(1 - 2^{1 + \frac{1}{2}}) t}

y = c_{1} e^{(1 + 2^{1 + \frac{1}{2}}) t} + c_{2} e^{(1 - 2^{1 + \frac{1}{2}}) t}

Graph

Beliebte Beispiele

y^{''}+b*y=0,y(0)-9y^'(0)=0,y^'(9)=0

y^{^{''}} + b \cdot y = 0, y (0) - 9 y^{^{'}} (0) = 0, y^{^{'}} (9) = 0

y^{'''}+6y^{''}+9y^'+4y=0

y^{^{'''}} + 6 y^{^{''}} + 9 y^{^{'}} + 4 y = 0

(d^2y)/(dx^2)-4(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} = 0

y^{''}+0.8y^'+100y=0,y(0)=0,y^'(0)=4

y^{^{''}} + 0.8 y^{^{'}} + 100 y = 0, y (0) = 0, y^{^{'}} (0) = 4

18 y^{^{''}} + 72 y = 0