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Beliebt Rechnen >

x^3y^{'''}+6x^2y^{''}+7xy^'+y=0

Lösung

x^{3} y^{^{'''}} + 6 x^{2} y^{^{''}} + 7 x y^{^{'}} + y = 0

Lösung

y = \frac{c _{1}}{x} + \frac{c _{2} ln ( x )}{x} + \frac{c _{3} ln ^{2} ( x )}{x}

Schritte zur Lösung

x^{3} y^{'''} (x) + 6 x^{2} y^{''} (x) + 7 x y^{'} (x) + y = 0

Solve linear ODE:

y = \frac{c _{1}}{x} + \frac{c _{2} ln ( x )}{x} + \frac{c _{3} ln ^{2} ( x )}{x}

y = \frac{c _{1}}{x} + \frac{c _{2} ln ( x )}{x} + \frac{c _{3} ln ^{2} ( x )}{x}

Graph

Beliebte Beispiele

derivative (cos(x))/(1-sin(x))

x^2((dy)/(dx))+x(x+2)y=e^x

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