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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of arcsin(xdx)

tangent f(x)=(x^3-25x)^8,(-5,0)

integral of (2x)/(1-x)

integral of (-3x)/(sqrt((x-1)^2+4))

y^{'''}-y^{''}+y^'+3y=0