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Beliebt Rechnen >

y^{''}-3y^'+2y=4t-8

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 t - 8

Lösung

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

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 4 t - 8

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^3-2d+4)y=3x^2-5x+2

(d^{3} - 2 d + 4) y = 3 x^{2} - 5 x + 2

(d^3-3d^2+4d-2)*y=e^x+cos(x)+x

(d^{3} - 3 d^{2} + 4 d - 2) \cdot y = e^{x} + cos (x) + x

(d^4+d^2+16)y=16x^2+256

(d^{4} + d^{2} + 16) y = 16 x^{2} + 256

y^{''}+10y^'+25y=e^{-5}x

y^{^{''}} + 10 y^{^{'}} + 25 y = e^{- 5} x

y^{''}+3y^'+2y=12e^x

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 e^{x}