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Beliebt Rechnen >

y^{''}+y=x^2+x-1

Lösung

y^{^{''}} + y = x^{2} + x - 1

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = x^{2} + x - 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(D^3-3D^2+4D-2)y=cos(x)

(D^{3} - 3 D^{2} + 4 D - 2) y = cos (x)

y^{''}+5y^'=100sin(5t)+150cos(5t)

y^{^{''}} + 5 y^{^{'}} = 100 sin (5 t) + 150 cos (5 t)

y^{''}+49y=-5cos(7t+pi^3)

y^{^{''}} + 49 y = - 5 cos (7 t + π^{3})

y^{''}+b^2y=sin(bt),y(0)=0,y^'(0)=0

y^{^{''}} + b^{2} y = sin (b t), y (0) = 0, y^{^{'}} (0) = 0

y^{'''}-y^'=6sin(t)

y^{^{'''}} - y^{^{'}} = 6 sin (t)