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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 3/(3+e^x)

\int \frac{3}{3 + e ^{x}} d x

y^{''}+y^'-30y=0,y(0)=2,y^'(0)=-2

y^{^{''}} + y^{^{'}} - 30 y = 0, y (0) = 2, y^{^{'}} (0) = - 2

(2 x + 1)^{^{'}}

derivative of (-1/x)

\frac{d}{d x} (\frac{- 1}{x})

derivative of 460(1+x/(x^2+80))

\frac{d}{d x} (460 (1 + \frac{x}{x ^{2} + 80}))