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Beliebt Rechnen >

y^{''}+y=6xsin(x)

Lösung

y^{^{''}} + y = 6 x sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = 6 x sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'-35y=13sin(x)-e^{3x}+1

y^{^{''}} - 2 y^{^{'}} - 35 y = 13 sin (x) - e^{3 x} + 1

y^{''}+4y=cos(x),y(0)=6,y^'(0)=-6

y^{^{''}} + 4 y = cos (x), y (0) = 6, y^{^{'}} (0) = - 6

y^{''}-2y^'+y=(e^x)/(2x)

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{x}}{2 x}

y^{^{'''}} - y^{^{'}} = 3 t

y^{^{'''}} - y^{^{'}} = 5 t