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Beliebt Rechnen >

ax^{''}+bx=0

Lösung

a x^{^{''}} + b x = 0

Lösung

x = c_{1} cos (\frac{b}{a} t) + c_{2} sin (\frac{b}{a} t)

Schritte zur Lösung

a x^{''} (t) + b x = 0

Solve linear ODE:

x = c_{1} cos (\frac{b}{a} t) + c_{2} sin (\frac{b}{a} t)

x = c_{1} cos (\frac{b}{a} t) + c_{2} sin (\frac{b}{a} t)

Graph

Beliebte Beispiele

derivative of e^{tanh(2x})

\frac{d}{d x} (e^{t a n h (2 x)})

integral of 1-cos(6x)

\int 1 - cos (6 x) d x

slopeintercept (0.5)(1.6)

s l o p e in t erce pt (0.5) (1.6)

(dy)/(dx)x^3+y^3=6xy

\frac{d y}{d x} x^{3} + y^{3} = 6 x y

y^'=(x(x^2+1))/(4y^3),y(0)=-1/(sqrt(2))

y^{^{'}} = \frac{x ( x ^{2} + 1 )}{4 y ^{3}}, y (0) = - \frac{1}{2}