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Beliebt Rechnen >

y^{''}+2y^'+y=4sin(x)

Lösung

y^{^{''}} + 2 y^{^{'}} + y = 4 sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) + y = 4 sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} - 2 y - 24 = 0

y^{''}+4y^'+4y=3t

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 t

(d^2y)/(dx^2)+2(dy)/(dx)-3y=24e^{3x}

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 24 e^{3 x}

y^{''}-y^'-2y=8sin(t)-2cos(t)

y^{^{''}} - y^{^{'}} - 2 y = 8 sin (t) - 2 cos (t)

y^{''}+6y^'+13y=13x^2

y^{^{''}} + 6 y^{^{'}} + 13 y = 13 x^{2}