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Beliebt Rechnen >

7y^{''}+34y^'-5y=0

Lösung

7 y^{^{''}} + 34 y^{^{'}} - 5 y = 0

Lösung

y = c_{1} e^{\frac{t}{7}} + c_{2} e^{- 5 t}

Schritte zur Lösung

7 y^{''} (t) + 34 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{7}} + c_{2} e^{- 5 t}

y = c_{1} e^{\frac{t}{7}} + c_{2} e^{- 5 t}

Graph

Beliebte Beispiele

(D^2-DD+D^2)z=0

(D^{2} - DD + D^{2}) z = 0

9y^{''}+12y^'+4y=0,y^'(0)=-1

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0, y^{^{'}} (0) = - 1

y^{''}-5y^'=0,y(0)=7-7e^5,y(1)=0

y^{^{''}} - 5 y^{^{'}} = 0, y (0) = 7 - 7 e^{5}, y (1) = 0

y^{''}+12y^'+ay=0

y^{^{''}} + 12 y^{^{'}} + a y = 0

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

l in e a r y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0