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Beliebt Rechnen >

x^{''}+2x^'+0.75x=0

Lösung

x^{^{''}} + 2 x^{^{'}} + 0.75 x = 0

Lösung

x = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{3 t}{2}}

Schritte zur Lösung

x^{''} (t) + 2 x^{'} (t) + 0.75 x = 0

Solve linear ODE:

x = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{3 t}{2}}

x = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{3 t}{2}}

Graph

Beliebte Beispiele

y^{''}=7y^'-12y,y(0)=0,y^'(0)=-1

y^{^{''}} = 7 y^{^{'}} - 12 y, y (0) = 0, y^{^{'}} (0) = - 1

y^{''}-10y^'+2y=0,y(0)=0

y^{^{''}} - 10 y^{^{'}} + 2 y = 0, y (0) = 0

(d^4y)/(dx^4)-2y^{''}+1y=0

\frac{d ^{4} y}{d x ^{4}} - 2 y^{^{''}} + 1 y = 0

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

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

y^{''}-10y^'+25y=0,y(0)=0,y^'(0)=5

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 0, y^{^{'}} (0) = 5