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Beliebt Rechnen >

y^{''}-2y^'=-4y

Lösung

y^{^{''}} - 2 y^{^{'}} = - 4 y

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

7y^{''}-8y^'+y=0

7 y^{^{''}} - 8 y^{^{'}} + y = 0

60x^{''}+240x=0,x(0)=0,x^'(0)=-8

60 x^{^{''}} + 240 x = 0, x (0) = 0, x^{^{'}} (0) = - 8

4y^{''}+9y^'+9y=0

4 y^{^{''}} + 9 y^{^{'}} + 9 y = 0

y^{''}-10y^'-144y=0,y(0)=9,y^'(0)=58

y^{^{''}} - 10 y^{^{'}} - 144 y = 0, y (0) = 9, y^{^{'}} (0) = 58

y^{''}+a*y^'-b*y=0

y^{^{''}} + a \cdot y^{^{'}} - b \cdot y = 0