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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} - e^{x} x^{2} - \frac{3 x ^{2}}{2} - 6 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} - e^{x} x^{2} - \frac{3 x ^{2}}{2} - 6 x

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} - e^{x} x^{2} - \frac{3 x ^{2}}{2} - 6 x

Graph

Beliebte Beispiele

y^{'''}-6y^{''}=x^2

y^{^{'''}} - 6 y^{^{''}} = x^{2}

y^{'''}-6y^'=3-cos(x)

y^{^{'''}} - 6 y^{^{'}} = 3 - cos (x)

y^{'''}-3y^{''}=9e^x

y^{^{'''}} - 3 y^{^{''}} = 9 e^{x}

y^{''}+2y^'+2y=e^{-t}sin(3t)

y^{^{''}} + 2 y^{^{'}} + 2 y = e^{- t} sin (3 t)

y^{''}-4y^'+5y=e^{2x}csc(x)

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{2 x} csc (x)