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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{4 t} (a + \frac{- 10 - 4 a}{5}) - \frac{e ^{- t} ( - 10 - 4 a )}{5}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{4 t} (a + \frac{- 10 - 4 a}{5}) - \frac{e ^{- t} ( - 10 - 4 a )}{5}

y = e^{4 t} (a + \frac{- 10 - 4 a}{5}) - \frac{e ^{- t} ( - 10 - 4 a )}{5}

Graph

Beliebte Beispiele

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

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

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

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

(d^2x)/(dt^2)+0.75(dx)/(dt)+0.3x=0

\frac{d ^{2} x}{d t ^{2}} + 0.75 \frac{d x}{d t} + 0.3 x = 0

y^{''}+10y^'+2y=0

y^{^{''}} + 10 y^{^{'}} + 2 y = 0

x^{''}+5x^'+3x=0,x(0)=5,x^'(0)=7

x^{^{''}} + 5 x^{^{'}} + 3 x = 0, x (0) = 5, x^{^{'}} (0) = 7