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Beliebt Rechnen >

x^2y^'+2xy=3cos^2(x)

Lösung

x^{2} y^{^{'}} + 2 x y = 3 cos^{2} (x)

Lösung

y = \frac{3 ( 2 x + sin ( 2 x ) )}{4 x ^{2}} + \frac{c _{1}}{x ^{2}}

Schritte zur Lösung

x^{2} y^{'} (x) + 2 x y = 3 cos^{2} (x)

Solve linear ODE:

y = \frac{3 ( 2 x + sin ( 2 x ) )}{4 x ^{2}} + \frac{c _{1}}{x ^{2}}

y = \frac{3 ( 2 x + sin ( 2 x ) )}{4 x ^{2}} + \frac{c _{1}}{x ^{2}}

Graph

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