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Beliebt Rechnen >

4y^{''}-12y^'+73y=0

Lösung

4 y^{^{''}} - 12 y^{^{'}} + 73 y = 0

Lösung

y = e^{\frac{3 t}{2}} (c_{1} cos (4 t) + c_{2} sin (4 t))

Schritte zur Lösung

4 y^{''} (t) - 12 y^{'} (t) + 73 y = 0

Solve linear ODE:

y = e^{\frac{3 t}{2}} (c_{1} cos (4 t) + c_{2} sin (4 t))

y = e^{\frac{3 t}{2}} (c_{1} cos (4 t) + c_{2} sin (4 t))

Graph

Beliebte Beispiele

y^{'''}+3y^{''}-7y^'+3y=0

y^{''}+6y^'+16y=0,y(0)=4,y^'(0)=0

5y^{''}-30y^'+170y=0

y^{''}+14y^'+49y=0,y(-4)=1,y^'(-4)=5