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Beliebt Rechnen >

y^{''}-3y^'+2y=4t+6

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 t + 6

Lösung

y = c_{1} e^{2 t} + c_{2} e^{t} + 2 t + 6

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 4 t + 6

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{t} + 2 t + 6

y = c_{1} e^{2 t} + c_{2} e^{t} + 2 t + 6

Graph

Beliebte Beispiele

y^{''''}+2y^{''}+y=cos(2x)

y^{^{''''}} + 2 y^{^{''}} + y = cos (2 x)

y^{''}-y=cos(t)+cos(t-6)u^6(t)

y^{^{''}} - y = cos (t) + cos (t - 6) u^{6} (t)

y^{''}+4y^'+4y=-4x

y^{^{''}} + 4 y^{^{'}} + 4 y = - 4 x

y^{''}+4*y^'+4*y=20cos(2t)

y^{^{''}} + 4 \cdot y^{^{'}} + 4 \cdot y = 20 cos (2 t)

4y^{''}+12y^'+9=0

4 y^{^{''}} + 12 y^{^{'}} + 9 = 0