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Beliebt Rechnen >

x^{''}+3x^'-4x=-4t+3

Lösung

x^{^{''}} + 3 x^{^{'}} - 4 x = - 4 t + 3

Lösung

x = c_{1} e^{t} + c_{2} e^{- 4 t} + t

Schritte zur Lösung

x^{''} (t) + 3 x^{'} (t) - 4 x = - 4 t + 3

Solve linear ODE:

x = c_{1} e^{t} + c_{2} e^{- 4 t} + t

x = c_{1} e^{t} + c_{2} e^{- 4 t} + t

Graph

Beliebte Beispiele

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

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

y^{''}+2y^'=4,y(0)=3,y^'(0)=5

y^{^{''}} + 2 y^{^{'}} = 4, y (0) = 3, y^{^{'}} (0) = 5

y^{''}+y=tsin(t)

y^{^{''}} + y = t sin (t)

y^{''}+3y^'+2y=x^2-1

y^{^{''}} + 3 y^{^{'}} + 2 y = x^{2} - 1

y^{''}-3y^'-4y=3e^2x

y^{^{''}} - 3 y^{^{'}} - 4 y = 3 e^{2} x