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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+y^{''}+4y^'+4y=100xsin(3x)

y^{''}-6y^'+9y=e^{3x}ln(1+x^2)

y^{''}+y^'-6y=e^{-3x}

y^{''}-2y^'-3y=12e^x-9

y^{''}+16y=cos(4t)