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Beliebt Rechnen >

y^{''}-5y^'+6y=0,y(1)=7

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = 0, y (1) = 7

Lösung

y = e^{3 t - 3} (7 - e^{2} c_{2}) + c_{2} e^{2 t}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) + 6 y = 0

Solve linear ODE:

y = e^{3 t - 3} (7 - e^{2} c_{2}) + c_{2} e^{2 t}

y = e^{3 t - 3} (7 - e^{2} c_{2}) + c_{2} e^{2 t}

Graph

Beliebte Beispiele

4y^{''}-24y^'+37y=0,y(0)=-9

4 y^{^{''}} - 24 y^{^{'}} + 37 y = 0, y (0) = - 9

8y^{''}+16y^'+128y=0,y(0)=5,y^'(0)=8

8 y^{^{''}} + 16 y^{^{'}} + 128 y = 0, y (0) = 5, y^{^{'}} (0) = 8

(d^{2} + d + 1) y = 0

y^{''}-6y^'+9y=0,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y^{^{'}} (0) = 1

3xy^{''}-2xy^'+11xy=0

3 x y^{^{''}} - 2 x y^{^{'}} + 11 x y = 0