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Beliebt Rechnen >

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

Lösung

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

Lösung

y = (2 - \frac{8}{5}) e^{4 t} + \frac{8}{5} e^{- t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 0

Solve linear ODE:

y = (2 - \frac{8}{5}) e^{4 t} + \frac{8}{5} e^{- t}

y = (2 - \frac{8}{5}) e^{4 t} + \frac{8}{5} e^{- t}

Graph

Beliebte Beispiele

(d^4y)/(dx^4)+2y^{'''}-2y^'-y=0

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

y^{''}+6y^'+7y=0

y^{^{''}} + 6 y^{^{'}} + 7 y = 0

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

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

2y^{''}-y^'-3y=0,y(2)=5,y^'(2)=0

2 y^{^{''}} - y^{^{'}} - 3 y = 0, y (2) = 5, y^{^{'}} (2) = 0

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

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