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Beliebt Rechnen >

x^{''}-x=sin(t)

Lösung

x^{^{''}} - x = sin (t)

Lösung

x = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{2} sin (t)

Schritte zur Lösung

x^{''} (t) - x = sin (t)

Solve linear ODE:

x = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{2} sin (t)

x = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{2} sin (t)

Graph

Beliebte Beispiele

y^{''}+4y=9sin(t)

y^{^{''}} + 4 y = 9 sin (t)

y^{''}-6y^'+13y=4e^{3x},y(0)=2,y^'(0)=4

y^{^{''}} - 6 y^{^{'}} + 13 y = 4 e^{3 x}, y (0) = 2, y^{^{'}} (0) = 4

y^{''}-2y^'+y=e^{-x}cos(x)

y^{^{''}} - 2 y^{^{'}} + y = e^{- x} cos (x)

y^{''}-4y^'+13y=3e^{2x}-5e^{3x}

y^{^{''}} - 4 y^{^{'}} + 13 y = 3 e^{2 x} - 5 e^{3 x}

y^{''}-y=cosh(3x)

y^{^{''}} - y = cosh (3 x)