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Beliebt Rechnen >

y^{''}+8y^'+17y=6e^{-40}cos(t)

Lösung

y^{^{''}} + 8 y^{^{'}} + 17 y = 6 e^{- 40} cos (t)

Lösung

y = e^{- 4 t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{3}{20 e ^{40}} sin (t) + \frac{3}{10 e ^{40}} cos (t)

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 17 y = 6 e^{- 40} cos (t)

Solve linear ODE:

y = e^{- 4 t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{3}{20 e ^{40}} sin (t) + \frac{3}{10 e ^{40}} cos (t)

y = e^{- 4 t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{3}{20 e ^{40}} sin (t) + \frac{3}{10 e ^{40}} cos (t)

Graph

Beliebte Beispiele

y^{''}+3/2 y^'=x+e^{2x}

(d^4y)/(dx^4)+6(dy)/(dx)=-5x^2

y^{''}+y^'-8y=9e^{3t}

y^{''}+2y^'+y=18e^{2x}-4sin(x)-x^2

3y^{''}-2y-y=2t^2-t-3e^{-3t}