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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} + c_{4} x + \frac{x ^{3}}{3} + \frac{3 x ^{2}}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} + c_{4} x + \frac{x ^{3}}{3} + \frac{3 x ^{2}}{2}

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} + c_{4} x + \frac{x ^{3}}{3} + \frac{3 x ^{2}}{2}

Graph

Beliebte Beispiele

y^{''}+6y^'+8y=16t^2

y^{^{''}} + 6 y^{^{'}} + 8 y = 16 t^{2}

y^{''}-y=-6sin(x)

y^{^{''}} - y = - 6 sin (x)

y^{''}+4y^'+6y=1,+e^{-t}y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1, + e^{- t} y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + y^{^{'}} = - 1

y^{^{''}} + y^{^{'}} = - 3