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Beliebt Rechnen >

-5t^2y^{''}-2ty^'+14y=0

Lösung

- 5 t^{2} y^{^{''}} - 2 t y^{^{'}} + 14 y = 0

Lösung

y = \frac{c _{1}}{t ^{\frac{7}{5}}} + c_{2} t^{2}

Schritte zur Lösung

- 5 t^{2} y^{''} (t) - 2 t y^{'} (t) + 14 y = 0

Solve linear ODE:

y = \frac{c _{1}}{t ^{\frac{7}{5}}} + c_{2} t^{2}

y = \frac{c _{1}}{t ^{\frac{7}{5}}} + c_{2} t^{2}

Graph

Beliebte Beispiele

derivative x^2e^x-2xe^x+5e^x

d er i v a t i v e x^{2} e^{x} - 2 x e^{x} + 5 e^{x}

limit as x approaches 0 of (x^2+5x)/x

x \to 0 lim (\frac{x ^{2} + 5 x}{x})

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

integral of |2x-3|

\int ∣ 2 x - 3 ∣ d x

y^{''}+6y^'=-108cos(6x)

y^{^{''}} + 6 y^{^{'}} = - 108 cos (6 x)