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Beliebt Rechnen >

y^{''}+6y^'+18y=11te^{4t}

Lösung

y^{^{''}} + 6 y^{^{'}} + 18 y = 11 t e^{4 t}

Lösung

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{11 e ^{4 t} t}{58} - \frac{77}{1682} e^{4 t}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 18 y = 11 t e^{4 t}

Solve linear ODE:

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{11 e ^{4 t} t}{58} - \frac{77}{1682} e^{4 t}

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{11 e ^{4 t} t}{58} - \frac{77}{1682} e^{4 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-(dy)/(dx)-2y=8

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = 8

y^{''}-10y^'+25y=6+3x

y^{^{''}} - 10 y^{^{'}} + 25 y = 6 + 3 x

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

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

solvefor d,d(t)=1399(0.95)^t

so l v e f or d, d (t) = 1399 (0.95)^{t}

y^{''}+(1/r)y^'=b

y^{^{''}} + (\frac{1}{r}) y^{^{'}} = b