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Beliebt Rechnen >

y^{''}+9y=x^2

Lösung

y^{^{''}} + 9 y = x^{2}

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{x ^{2}}{9} - \frac{2}{81}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{x ^{2}}{9} - \frac{2}{81}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{x ^{2}}{9} - \frac{2}{81}

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=sin(x)

y^{^{''}} - 2 y^{^{'}} - 3 y = sin (x)

y^{''}+2y^'+2y=cos(t)

y^{^{''}} + 2 y^{^{'}} + 2 y = cos (t)

y^{''}-2y^'-8y=6+3x

y^{^{''}} - 2 y^{^{'}} - 8 y = 6 + 3 x

2 y^{^{''}} + 4 y = 6 t

y^{''}+6y^'+8y=8t+22,y(0)=-7,y^'(0)=20

y^{^{''}} + 6 y^{^{'}} + 8 y = 8 t + 22, y (0) = - 7, y^{^{'}} (0) = 20