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Beliebt Rechnen >

y^{''''}-7y^{'''}-2y^{''}=0

Lösung

y^{^{''''}} - 7 y^{^{'''}} - 2 y^{^{''}} = 0

Lösung

y = c_{1} e^{\frac{( 7 + 57 ) t}{2}} + c_{2} e^{\frac{( 7 - 57 ) t}{2}} + c_{3} + c_{4} t

Schritte zur Lösung

y^{(4)} (t) - 7 y^{'''} (t) - 2 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 7 + 57 ) t}{2}} + c_{2} e^{\frac{( 7 - 57 ) t}{2}} + c_{3} + c_{4} t

y = c_{1} e^{\frac{( 7 + 57 ) t}{2}} + c_{2} e^{\frac{( 7 - 57 ) t}{2}} + c_{3} + c_{4} t

Graph

Beliebte Beispiele

3y^{''}+3y^'+4y=0

3 y^{^{''}} + 3 y^{^{'}} + 4 y = 0

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

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

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