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Beliebt Rechnen >

y^{'''}+y^{''}=9x^2

Lösung

y^{^{'''}} + y^{^{''}} = 9 x^{2}

Lösung

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{3 x ^{4}}{4} - 3 x^{3} + 9 x^{2}

Schritte zur Lösung

y^{'''} (x) + y^{''} (x) = 9 x^{2}

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{3 x ^{4}}{4} - 3 x^{3} + 9 x^{2}

y = c_{1} e^{- x} + c_{2} + c_{3} x + \frac{3 x ^{4}}{4} - 3 x^{3} + 9 x^{2}

Graph

Beliebte Beispiele

y^{''}-9y^'+4y=xe^x

y^{^{''}} - 9 y^{^{'}} + 4 y = x e^{x}

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

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

y^{''}+2y^'-3y=1,y(0)=e^x-1/3

y^{^{''}} + 2 y^{^{'}} - 3 y = 1, y (0) = e^{x} - \frac{1}{3}

y^{'''}-12y^{''}+256y=e^{8x}

y^{^{'''}} - 12 y^{^{''}} + 256 y = e^{8 x}

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

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