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Beliebt Rechnen >

t^2y^{''}+19ty^'+130y=0

Lösung

t^{2} y^{^{''}} + 19 t y^{^{'}} + 130 y = 0

Lösung

y = \frac{c _{1} cos ( 7 ln ( t ) ) + c _{2} sin ( 7 ln ( t ) )}{t ^{9}}

Schritte zur Lösung

t^{2} y^{''} (t) + 19 t y^{'} (t) + 130 y = 0

Solve linear ODE:

y = \frac{c _{1} cos ( 7 ln ( t ) ) + c _{2} sin ( 7 ln ( t ) )}{t ^{9}}

y = \frac{c _{1} cos ( 7 ln ( t ) ) + c _{2} sin ( 7 ln ( t ) )}{t ^{9}}

Graph

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