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Beliebt Rechnen >

x^{''''}=0

Lösung

x^{^{''''}} = 0

Lösung

x = \frac{c _{1} t ^{3}}{6} + \frac{c _{2} t ^{2}}{2} + c_{3} t + c_{4}

Schritte zur Lösung

x^{(4)} (t) = 0

Löse

x^{(4)} (t) = 0 : x^{'''} (t) = c_{1}

Löse

x^{'''} (t) = c_{1} : x^{''} (t) = c_{1} t + c_{2}

Löse

x^{''} (t) = c_{1} t + c_{2} : x^{'} (t) = \frac{c _{1} t ^{2}}{2} + c_{2} t + c_{3}

Löse

x^{'} (t) = \frac{c _{1} t ^{2}}{2} + c_{2} t + c_{3} : x = \frac{c _{1} t ^{3}}{6} + \frac{c _{2} t ^{2}}{2} + c_{3} t + c_{4}

x = \frac{c _{1} t ^{3}}{6} + \frac{c _{2} t ^{2}}{2} + c_{3} t + c_{4}

Graph

Beliebte Beispiele

limit as x approaches 5 of sqrt(x)

x \to 5 lim (x)

y^{''}-y^'-6y=0,y^'(0)=-6

y^{^{''}} - y^{^{'}} - 6 y = 0, y^{^{'}} (0) = - 6

integral of (2-x)/(x^2-x+1)

\int \frac{2 - x}{x ^{2} - x + 1} d x

derivative of 4x^2-5x+3

\frac{d}{d x} (4 x^{2} - 5 x + 3)

integral of sqrt(x)-x^2

\int x - x^{2} d x