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Beliebt Rechnen >

y^{''''}-5y^{''}+4y=10cos(x)

Lösung

y^{^{''''}} - 5 y^{^{''}} + 4 y = 10 cos (x)

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} e^{x} + c_{4} e^{- x} + cos (x)

Schritte zur Lösung

y^{(4)} (x) - 5 y^{''} (x) + 4 y = 10 cos (x)

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} e^{x} + c_{4} e^{- x} + cos (x)

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} + c_{3} e^{x} + c_{4} e^{- x} + cos (x)

Graph

Beliebte Beispiele

-9y^{''}+y=9t-4e^t+9

- 9 y^{^{''}} + y = 9 t - 4 e^{t} + 9

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

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

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

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

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

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

(d^4y)/(dt^4)-4y^{''}=t^2+e^t

\frac{d ^{4} y}{d t ^{4}} - 4 y^{^{''}} = t^{2} + e^{t}