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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+7y^'-12=e^{3x}-2e^x-5x

y^{^{''}} + 7 y^{^{'}} - 12 = e^{3 x} - 2 e^{x} - 5 x

y^{''}+2y^'+2y=1+cos(sqrt(2)t)

y^{^{''}} + 2 y^{^{'}} + 2 y = 1 + cos (2 t)

y^{''}+4y^'+7t=t^3e^{4t}cos(t)

y^{^{''}} + 4 y^{^{'}} + 7 t = t^{3} e^{4 t} cos (t)

(d^2y)/(dx^2)-y=sin^2(x)

\frac{d ^{2} y}{d x ^{2}} - y = sin^{2} (x)

y^{''}-2y^'+26y=excos(5x)

y^{^{''}} - 2 y^{^{'}} + 26 y = e x cos (5 x)