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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+y^'=t^2+1

y^{^{'''}} + y^{^{'}} = t^{2} + 1

y^{^{''}} - 2 y + 2 = 0

y^{''}-9y^'=81x^2+7,y(0)=-1,y^'(0)=2

y^{^{''}} - 9 y^{^{'}} = 81 x^{2} + 7, y (0) = - 1, y^{^{'}} (0) = 2

y^{''}-y^'-6y=14sin(3)

y^{^{''}} - y^{^{'}} - 6 y = 14 sin (3)

y^{''}+2y^'+5y=2e^{(-t)}sin(2t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 2 e^{(- t)} sin (2 t)