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Beliebt Rechnen >

y^{''}+3y=x^3-1

Lösung

y^{^{''}} + 3 y = x^{3} - 1

Lösung

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

Schritte zur Lösung

y^{''} (x) + 3 y = x^{3} - 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=8e^{2t},y(0)=3,y^'(0)=2

y^{^{''}} - 8 y^{^{'}} + 16 y = 8 e^{2 t}, y (0) = 3, y^{^{'}} (0) = 2

y^{''}+y^'=x,y(0)=5,y^'(0)=0

y^{^{''}} + y^{^{'}} = x, y (0) = 5, y^{^{'}} (0) = 0

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

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

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

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

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