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Beliebt Rechnen >

y^{''''}-y=e^{2t}

Lösung

y^{^{''''}} - y = e^{2 t}

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) + \frac{1}{15} e^{2 t}

Schritte zur Lösung

y^{(4)} (t) - y = e^{2 t}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) + \frac{1}{15} e^{2 t}

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) + \frac{1}{15} e^{2 t}

Graph

Beliebte Beispiele

-1/9 y^{''}+2/3 y^'-y= t/(t+1)

- \frac{1}{9} y^{^{''}} + \frac{2}{3} y^{^{'}} - y = \frac{t}{t + 1}

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

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

y^{''}+6y^'+9y=te^{-3t}

y^{^{''}} + 6 y^{^{'}} + 9 y = t e^{- 3 t}

y^{''}+y=2+t,y(0)=1,y^'(0)=3

y^{^{''}} + y = 2 + t, y (0) = 1, y^{^{'}} (0) = 3

y^{''}-6y^'+8y=4e^{e-2x}

y^{^{''}} - 6 y^{^{'}} + 8 y = 4 e^{e - 2 x}