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Beliebt Rechnen >

y^{''}-4y^'-5y=0,y(0)=4

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 4

Lösung

y = (4 - c_{2}) e^{5 t} + c_{2} e^{- t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = (4 - c_{2}) e^{5 t} + c_{2} e^{- t}

y = (4 - c_{2}) e^{5 t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

y^{''}-4y^'-5y=0,y(0)=1

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 1

y^{''}+(4)y^'+25y=0

y^{^{''}} + (4) y^{^{'}} + 25 y = 0

(d^2y)/(dt^2)+ky=0

\frac{d ^{2} y}{d t ^{2}} + k y = 0

(d^2y)/(dx^2)-9y=0,y(0)=1,y(1)=-1

\frac{d ^{2} y}{d x ^{2}} - 9 y = 0, y (0) = 1, y (1) = - 1

y^{''}+6y^'+73y=0,y(0)=-5,y^'(0)=-25

y^{^{''}} + 6 y^{^{'}} + 73 y = 0, y (0) = - 5, y^{^{'}} (0) = - 25