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Beliebt Rechnen >

y^{''}+y=3xsin(x)

Lösung

y^{^{''}} + y = 3 x sin (x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - \frac{3 x ^{2} cos ( x )}{4} + \frac{3 x sin ( x )}{4}

Schritte zur Lösung

y^{''} (x) + y = 3 x sin (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{3 x ^{2} cos ( x )}{4} + \frac{3 x sin ( x )}{4}

y = c_{1} cos (x) + c_{2} sin (x) - \frac{3 x ^{2} cos ( x )}{4} + \frac{3 x sin ( x )}{4}

Graph

Beliebte Beispiele

x^{''}+6x^'+25x=te^{-t}

x^{^{''}} + 6 x^{^{'}} + 25 x = t e^{- t}

y^{''}+9y=2sec(3x)

y^{^{''}} + 9 y = 2 sec (3 x)

y^{''}+9y=tan(3t)

y^{^{''}} + 9 y = tan (3 t)

y^{'''}-3y^{''}+4y=4e^x-18e^{-x}

y^{^{'''}} - 3 y^{^{''}} + 4 y = 4 e^{x} - 18 e^{- x}

y^{'''}-2y^{''}-y^'+2y=e^{4x}

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 y = e^{4 x}