y^{''}-y^'-2y=2x+7

Lösung

y^{^{''}} - y^{^{'}} - 2 y = 2 x + 7

y = c_{1} e^{2 x} + c_{2} e^{- x} - x - 3

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 2 y = 2 x + 7

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - x - 3

y = c_{1} e^{2 x} + c_{2} e^{- x} - x - 3

y^{^{''''}} + 12 y^{^{''}} + 36 = 0

y^{^{''}} - 10 y^{^{'}} + 25 y = 6 x^{2} e^{5 x}

x^{^{''}} + 4 x = 2 e^{t}

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

y^{^{''}} + 4 y = 2 e^{- x}