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Beliebt Rechnen >

y^{''}-y^'-6y=50sin(x)-5e^{-2x}

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 50 sin (x) - 5 e^{- 2 x}

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - 7 sin (x) + cos (x) + e^{- 2 x} x

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 50 sin (x) - 5 e^{- 2 x}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - 7 sin (x) + cos (x) + e^{- 2 x} x

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - 7 sin (x) + cos (x) + e^{- 2 x} x

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+2(dx)/(dt)+5x=1

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 5 x = 1

y^{^{''}} + y^{^{'}} = c

(D^3-5D^2+8D-4)y=e^{2x}+2e^x+3e^{-x}

(D^{3} - 5 D^{2} + 8 D - 4) y = e^{2 x} + 2 e^{x} + 3 e^{- x}

y^{''}-16y=16t-32e^{-4t},y(0)=0,y^'(0)=51

y^{^{''}} - 16 y = 16 t - 32 e^{- 4 t}, y (0) = 0, y^{^{'}} (0) = 51

y^{''}+2y^'+1000y=2e^{2x}

y^{^{''}} + 2 y^{^{'}} + 1000 y = 2 e^{2 x}