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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+16x=1+2sin(4t)

\frac{d ^{2} x}{d t ^{2}} + 16 x = 1 + 2 sin (4 t)

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

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

y^{''}+y^'-2y=5

y^{^{''}} + y^{^{'}} - 2 y = 5

(d^2y)/(dx^2)+9y=xe^{2x}+sin(3x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = x e^{2 x} + sin (3 x)

(d^2-4d+3)y=3e^x*cos(x)

(d^{2} - 4 d + 3) y = 3 e^{x} \cdot cos (x)