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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - e^{4 t} + e^{3 t}

Schritte zur Lösung

y^{''} (t) = 7 y^{'} (t) - 12 y

Solve linear ODE:

y = - e^{4 t} + e^{3 t}

y = - e^{4 t} + e^{3 t}

Graph

Beliebte Beispiele

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

y^{''}-10y^'+25y=0,y(0)=0,y^'(0)=8

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 0, y^{^{'}} (0) = 8