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Beliebt Rechnen >

x^{''}-0.1x^'+1.0025x=0

Lösung

x^{^{''}} - 0.1 x^{^{'}} + 1.0025 x = 0

Lösung

x = e^{0.05 t} (c_{1} cos (t) + c_{2} sin (t))

Schritte zur Lösung

x^{''} (t) - 0.1 x^{'} (t) + 1.0025 x = 0

Solve linear ODE:

x = e^{0.05 t} (c_{1} cos (t) + c_{2} sin (t))

x = e^{0.05 t} (c_{1} cos (t) + c_{2} sin (t))

Graph

Beliebte Beispiele

y^{^{'''}} + 6 y = 0

y^{''}+120y^'+10000y=0

y^{^{''}} + 120 y^{^{'}} + 10000 y = 0

4 y^{^{''}} = - 25 y

35y^{''''}+52y^{''}+9y=0

35 y^{^{''''}} + 52 y^{^{''}} + 9 y = 0

(d^4y)/(dt^4)-y^{'''}-y^{''}+y^'=0

\frac{d ^{4} y}{d t ^{4}} - y^{^{'''}} - y^{^{''}} + y^{^{'}} = 0