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Beliebt Rechnen >

x^{''}+x^'+1/3 x=0,x(0)=4,x^'(0)=0

Lösung

x^{^{''}} + x^{^{'}} + \frac{1}{3} x = 0, x (0) = 4, x^{^{'}} (0) = 0

Lösung

x = e^{- \frac{t}{2}} (4 cos (\frac{t}{2 3}) + 43 sin (\frac{t}{2 3}))

Schritte zur Lösung

x^{''} (t) + x^{'} (t) + \frac{1}{3} x = 0

Solve linear ODE:

x = e^{- \frac{t}{2}} (4 cos (\frac{t}{2 3}) + 43 sin (\frac{t}{2 3}))

x = e^{- \frac{t}{2}} (4 cos (\frac{t}{2 3}) + 43 sin (\frac{t}{2 3}))

Graph

Beliebte Beispiele

y^{'''}+3y^{''}-10y^'=0

y^{^{'''}} + 3 y^{^{''}} - 10 y^{^{'}} = 0

81y^{''}-18y^'+5y=0,y(1)=1,y^'(1)=7

81 y^{^{''}} - 18 y^{^{'}} + 5 y = 0, y (1) = 1, y^{^{'}} (1) = 7

9x^{''}+9x^'-4x=0

9 x^{^{''}} + 9 x^{^{'}} - 4 x = 0

y^{''}+y=0,y(pi)=1,y(0)=1

y^{^{''}} + y = 0, y (π) = 1, y (0) = 1

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