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Beliebt Rechnen >

y^{''}-5y^'-24y=5+2t

Lösung

y^{^{''}} - 5 y^{^{'}} - 24 y = 5 + 2 t

Lösung

y = c_{1} e^{8 t} + c_{2} e^{- 3 t} - \frac{t}{12} - \frac{55}{288}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) - 24 y = 5 + 2 t

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} e^{- 3 t} - \frac{t}{12} - \frac{55}{288}

y = c_{1} e^{8 t} + c_{2} e^{- 3 t} - \frac{t}{12} - \frac{55}{288}

Graph

Beliebte Beispiele

y^{''}+36y=33cos(5x)

y^{^{''}} + 36 y = 33 cos (5 x)

d (x) = 2 x - 4

(d^2y)/(dx^2)-4y=4sin(2x)-3e^2x

\frac{d ^{2} y}{d x ^{2}} - 4 y = 4 sin (2 x) - 3 e^{2} x

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

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

y^{''}-2y^'+2y=e^2x(cos(x)-6sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2} x (cos (x) - 6 sin (x))