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

Lösung

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

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

Schritte zur Lösung

y^{''} (x) + y - x = 0

Solve linear ODE:

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

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

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

y^{^{''}} + 3 y^{^{'}} = x^{2} + 9

y^{^{''}} + 9 y = 4 sec (3 x)

x^{^{''}} - 4 x^{^{'}} + 4 x = 2 sin (2 t)

y^{^{''}} - 3 y^{^{'}} - 4 y = 1 - 8 x^{2} + 48 e^{- 4 x}