y^{''}+y^'=7

Lösung

y^{^{''}} + y^{^{'}} = 7

y = c_{1} + c_{2} e^{- t} + 7 t

Schritte zur Lösung

y^{''} (t) + y^{'} (t) = 7

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + 7 t

y = c_{1} + c_{2} e^{- t} + 7 t

y^{^{''}} - 3 y^{^{'}} - 4 y = 3 e^{2 t} + 2 sin (t)

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

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

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

x^{^{''}} + 4 x^{^{'}} + 5 x = 13 sin (2 t)