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

Lösung

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

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

y^{^{''}} + 2 y^{^{'}} - 15 y = 3 x

x^{^{''}} + 36 x = 5 sin (4 t)

4 y^{^{''}} - y = 2

y^{^{''}} - 3 y^{^{'}} + 2 y = 10 sin (x)

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