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Beliebt Rechnen >

y^{''}+3y^'+2y=0,y(0)= 1/4

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{4}

Lösung

y = (\frac{1}{4} - c_{2}) e^{- t} + c_{2} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = (\frac{1}{4} - c_{2}) e^{- t} + c_{2} e^{- 2 t}

y = (\frac{1}{4} - c_{2}) e^{- t} + c_{2} e^{- 2 t}

Graph

Beliebte Beispiele

y^{''}+(3-a)y^'+2(a-1)y=0

y^{^{''}} + (3 - a) y^{^{'}} + 2 (a - 1) y = 0

(d^2y)/(dx^2)-12(dy)/(dx)-64y=0

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} - 64 y = 0

10/32 y^{''}+1/6 y=0,y(0)= 1/6 ,y^'(0)=-1

\frac{10}{32} y^{^{''}} + \frac{1}{6} y = 0, y (0) = \frac{1}{6}, y^{^{'}} (0) = - 1

10000y^{''}-729y=0,y(0)=9

10000 y^{^{''}} - 729 y = 0, y (0) = 9

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

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