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Beliebt Rechnen >

t^2(d^2y)/(dt^2)+2t(dy)/(dt)-6y=0

Lösung

t^{2} \frac{d ^{2} y}{d t ^{2}} + 2 t \frac{d y}{d t} - 6 y = 0

Lösung

y = c_{1} t^{2} + \frac{c _{2}}{t ^{3}}

Schritte zur Lösung

t^{2} \frac{d ^{2} y}{d t ^{2}} + 2 t \frac{d y}{d t} - 6 y = 0

Solve linear ODE:

y = c_{1} t^{2} + \frac{c _{2}}{t ^{3}}

y = c_{1} t^{2} + \frac{c _{2}}{t ^{3}}

Graph

Beliebte Beispiele

tangent (x+2)^2+(y-3)^2=37,(-8,4)

t an g e n t (x + 2)^{2} + (y - 3)^{2} = 37, (- 8, 4)

integral of cos^2(u)sin^2(u)

\int cos^{2} (u) sin^{2} (u) d u

derivative of 6x^5e^{6x}

\frac{d}{d x} (6 x^{5} e^{6 x})

derivative of (1-2x/(6+x))

\frac{d}{d x} (\frac{1 - 2 x}{6 + x})

tangent f(x)=4x-3sqrt(x)

t an g e n t f (x) = 4 x - 3 x