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Beliebt Rechnen >

x^3y^{'''}-6y=0

Lösung

x^{3} y^{^{'''}} - 6 y = 0

Lösung

y = c_{1} x^{3} + c_{2} cos (2 ln (x)) + c_{3} sin (2 ln (x))

Schritte zur Lösung

x^{3} y^{'''} (x) - 6 y = 0

Solve linear ODE:

y = c_{1} x^{3} + c_{2} cos (2 ln (x)) + c_{3} sin (2 ln (x))

y = c_{1} x^{3} + c_{2} cos (2 ln (x)) + c_{3} sin (2 ln (x))

Graph

Beliebte Beispiele

integral of (6sin(2x))/(sin(x))

\int \frac{6 sin ( 2 x )}{sin ( x )} d x

integral of sec^2(θ)+7

\int sec^{2} (θ) + 7 d θ

fläche y= 5/6 x^2,y= 11/6-x^2

a re a y = \frac{5}{6} x^{2}, y = \frac{11}{6} - x^{2}

derivative of e^{rx}r

\frac{d}{d x} (e^{r x} r)

tangent f(x)=x^2-5x+5,\at x=6

t an g e n t f (x) = x^{2} - 5 x + 5, at x = 6