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Beliebt Rechnen >

y^{''}+y=4x

Lösung

y^{^{''}} + y = 4 x

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 4 x

Schritte zur Lösung

y^{''} (x) + y = 4 x

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 4 x

y = c_{1} cos (x) + c_{2} sin (x) + 4 x

Graph

Beliebte Beispiele

2y^{''}+6y^'+1=95

2 y^{^{''}} + 6 y^{^{'}} + 1 = 95

x^{''}+2x^'+41x=11cos(6t)

x^{^{''}} + 2 x^{^{'}} + 41 x = 11 cos (6 t)

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

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

y^{'''}+y^{''}+4y^'+4y=4x+4

y^{^{'''}} + y^{^{''}} + 4 y^{^{'}} + 4 y = 4 x + 4

y^{''}-3y^'+2y=4e^{2t},y^'(0)=5,y(0)=-3

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 e^{2 t}, y^{^{'}} (0) = 5, y (0) = - 3