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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{c _{1}}{t} + \frac{c _{2} ln ( t )}{t} + \frac{ln ^{2} ( t )}{2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{c _{1}}{t} + \frac{c _{2} ln ( t )}{t} + \frac{ln ^{2} ( t )}{2 t}

y = \frac{c _{1}}{t} + \frac{c _{2} ln ( t )}{t} + \frac{ln ^{2} ( t )}{2 t}

Graph

Beliebte Beispiele

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\int arctan (2 y) d y