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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{4}}{72} - \frac{x ^{3}}{108} - \frac{x ^{2}}{216}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{4}}{72} - \frac{x ^{3}}{108} - \frac{x ^{2}}{216}

y = c_{1} e^{6 x} + c_{2} + c_{3} x - \frac{x ^{4}}{72} - \frac{x ^{3}}{108} - \frac{x ^{2}}{216}

Graph

Beliebte Beispiele

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)

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

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