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Beliebt Rechnen >

3y^{'''}-12y^'-4y^{''}=0

Lösung

3 y^{^{'''}} - 12 y^{^{'}} - 4 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} e^{\frac{2 ( 1 + 10 ) t}{3}} + c_{3} e^{\frac{2 ( 1 - 10 ) t}{3}}

Schritte zur Lösung

3 y^{'''} (t) - 12 y^{'} (t) - 4 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{2 ( 1 + 10 ) t}{3}} + c_{3} e^{\frac{2 ( 1 - 10 ) t}{3}}

y = c_{1} + c_{2} e^{\frac{2 ( 1 + 10 ) t}{3}} + c_{3} e^{\frac{2 ( 1 - 10 ) t}{3}}

Graph

Beliebte Beispiele

5y^{''}-13y^'-6y=0

5 y^{^{''}} - 13 y^{^{'}} - 6 y = 0

y^{^{''}} + 48 y^{^{'}} = 0

y^{''}+2ay^'+(a^2+1)y=0,y(0)=1,y^'(0)=0

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

6y^{''}-17y^'+12y=0

6 y^{^{''}} - 17 y^{^{'}} + 12 y = 0

4y^{''}+4sqrt(3)y^'+3y=0

4 y^{^{''}} + 43 y^{^{'}} + 3 y = 0