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Beliebt Rechnen >

y^{''}-y=e^tsin(t)

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{5} e^{t} sin (t) - \frac{2}{5} e^{t} cos (t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{5} e^{t} sin (t) - \frac{2}{5} e^{t} cos (t)

y = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{5} e^{t} sin (t) - \frac{2}{5} e^{t} cos (t)

Graph

Beliebte Beispiele

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

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

y^{''}-2y^'-3y=e^x

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{x}

y^{''}-2y^'+y=e^x(x^2-x+1)

y^{^{''}} - 2 y^{^{'}} + y = e^{x} (x^{2} - x + 1)

y^{''}-2y^'+y=e^x 1/x

y^{^{''}} - 2 y^{^{'}} + y = e^{x} \frac{1}{x}

x^{''}+4x^'+40x=4e^{-2t}cos(6t)

x^{^{''}} + 4 x^{^{'}} + 40 x = 4 e^{- 2 t} cos (6 t)