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Beliebt Rechnen >

x^2y^'+4xy=(sin(3x))/(x^2)

Lösung

x^{2} y^{^{'}} + 4 x y = \frac{sin ( 3 x )}{x ^{2}}

Lösung

y = - \frac{cos ( 3 x )}{3 x ^{4}} + \frac{c _{1}}{x ^{4}}

Schritte zur Lösung

x^{2} y^{'} (x) + 4 x y = \frac{sin ( 3 x )}{x ^{2}}

Solve linear ODE:

y = - \frac{cos ( 3 x )}{3 x ^{4}} + \frac{c _{1}}{x ^{4}}

y = - \frac{cos ( 3 x )}{3 x ^{4}} + \frac{c _{1}}{x ^{4}}

Graph

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