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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (\frac{t}{7}) + c_{2} sin (\frac{t}{7})

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (\frac{t}{7}) + c_{2} sin (\frac{t}{7})

y = c_{1} cos (\frac{t}{7}) + c_{2} sin (\frac{t}{7})

Graph

Beliebte Beispiele

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

4y^{''}-4y^'+(-3)y=0,y(0)=5,y^'(0)=0

4 y^{^{''}} - 4 y^{^{'}} + (- 3) y = 0, y (0) = 5, y^{^{'}} (0) = 0

y^{^{''}} + 0.25 y = 0

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

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

x^{''}-9x^'-14x=0

x^{^{''}} - 9 x^{^{'}} - 14 x = 0