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Beliebt Rechnen >

y^{''}-4y=28

Lösung

y^{^{''}} - 4 y = 28

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 7

Schritte zur Lösung

y^{''} (t) - 4 y = 28

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 7

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 7

Graph

Beliebte Beispiele

y^{''}+4y^'+16y=4sin(6t)

y^{^{''}} + 4 y^{^{'}} + 16 y = 4 sin (6 t)

y^{''}+16y=16,y(0)=1,y^'(0)=4

y^{^{''}} + 16 y = 16, y (0) = 1, y^{^{'}} (0) = 4

y^{'''}-2y^'+4y=excos(x)+x^2

y^{^{'''}} - 2 y^{^{'}} + 4 y = e x cos (x) + x^{2}

y^{''}+8y^'+25y=150,y^'(0)=0,y(0)=0

y^{^{''}} + 8 y^{^{'}} + 25 y = 150, y^{^{'}} (0) = 0, y (0) = 0

y^{''}-5y^'+4y=2te^t,y(0)=1,y^'(0)=-4

y^{^{''}} - 5 y^{^{'}} + 4 y = 2 t e^{t}, y (0) = 1, y^{^{'}} (0) = - 4