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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+c*y=g(x),y(0)=0,y^'(0)=0

y^{^{''}} + c \cdot y = g (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-36y=24sin(6t)

y^{^{''}} - 36 y = 24 sin (6 t)

y^{''}-2y^'+2y=e^x(cos(x)-3sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{x} (cos (x) - 3 sin (x))

y^{''}-10y^'+25y=t^{-9}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 9} e^{5 t}

y^{''}-14*y^{''}+45*y^'=32e^x

y^{^{''}} - 14 \cdot y^{^{''}} + 45 \cdot y^{^{'}} = 32 e^{x}