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Beliebt Rechnen >

y^{''}+y=12x

Lösung

y^{^{''}} + y = 12 x

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 12 x

Schritte zur Lösung

y^{''} (x) + y = 12 x

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 12 x

y = c_{1} cos (x) + c_{2} sin (x) + 12 x

Graph

Beliebte Beispiele

y^{''}+4y=2,e^xy(0)=2,y^'(0)=1

y^{^{''}} + 4 y = 2, e^{x} y (0) = 2, y^{^{'}} (0) = 1

(d^2-d-2)y=10cos(x)

(d^{2} - d - 2) y = 10 cos (x)

y^{''}+4y^'+3y=4,e^3ty(0)=2,y^'(0)=7

y^{^{''}} + 4 y^{^{'}} + 3 y = 4, e^{3} t y (0) = 2, y^{^{'}} (0) = 7

(d^2+4)y=sin^2(x)

(d^{2} + 4) y = sin^{2} (x)

(d^2-2d+2)y=e^xtan(x)

(d^{2} - 2 d + 2) y = e^{x} tan (x)