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Beliebt Rechnen >

1y^{''}+3y^'-4y=0

Lösung

1 y^{^{''}} + 3 y^{^{'}} - 4 y = 0

Lösung

y = c_{1} e^{t} + c_{2} e^{- 4 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 4 t}

y = c_{1} e^{t} + c_{2} e^{- 4 t}

Graph

Beliebte Beispiele

1.27y^{''}+8.4y^'+1284y=0

1.27 y^{^{''}} + 8.4 y^{^{'}} + 1284 y = 0

y^{''}-(2α-12)y^'+(α^2-12α+20)y=0

y^{^{''}} - (2 α - 12) y^{^{'}} + (α^{2} - 12 α + 20) y = 0

(d^2x)/(dt^2)-ax=0

\frac{d ^{2} x}{d t ^{2}} - a x = 0

y^{''}-3y^'-4y=0,y(0)=a,y^'(0)=-10

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = a, y^{^{'}} (0) = - 10

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

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