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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- 3 t} + t

Schritte zur Lösung

3 y^{''} (t) + 8 y^{'} (t) - 3 y = 8 - 3 t

Solve linear ODE:

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- 3 t} + t

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- 3 t} + t

Graph

Beliebte Beispiele

2y^{''}+4y=6t,y(0)=4.9,y^'(0)=0

2 y^{^{''}} + 4 y = 6 t, y (0) = 4.9, y^{^{'}} (0) = 0

y^{''}-5y^'+6y=24

y^{^{''}} - 5 y^{^{'}} + 6 y = 24

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

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 4 y = 4

y^{''}+9y=18(sec(3x))^3

y^{^{''}} + 9 y = 18 (sec (3 x))^{3}

3y^{''}+192.08y=48.02cos(8t)

3 y^{^{''}} + 192.08 y = 48.02 cos (8 t)