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Beliebt Rechnen >

t^2y^{''}+3ty^'-3y= 1/t

Lösung

t^{2} y^{^{''}} + 3 t y^{^{'}} - 3 y = \frac{1}{t}

Lösung

y = c_{1} t + \frac{c _{2}}{t ^{3}} - \frac{1}{4 t}

Schritte zur Lösung

t^{2} y^{''} (t) + 3 t y^{'} (t) - 3 y = \frac{1}{t}

Solve linear ODE:

y = c_{1} t + \frac{c _{2}}{t ^{3}} - \frac{1}{4 t}

y = c_{1} t + \frac{c _{2}}{t ^{3}} - \frac{1}{4 t}

Graph

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6y^{''}+40y^'+54y=0

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