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Beliebt Rechnen >

4x^3y+x^4y^'=sin^3(x/9)

Lösung

4 x^{3} y + x^{4} y^{^{'}} = sin^{3} (\frac{x}{9})

Lösung

y = \frac{3 ( cos ^{3} ( \frac{x}{9} ) - 3 cos ( \frac{x}{9} ) )}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Schritte zur Lösung

4 x^{3} y + x^{4} y^{'} (x) = sin^{3} (\frac{x}{9})

Solve linear ODE:

y = \frac{3 ( cos ^{3} ( \frac{x}{9} ) - 3 cos ( \frac{x}{9} ) )}{x ^{4}} + \frac{c _{1}}{x ^{4}}

y = \frac{3 ( cos ^{3} ( \frac{x}{9} ) - 3 cos ( \frac{x}{9} ) )}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Graph

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