(d^2y)/(dx^2)=x+y

Lösung

\frac{d ^{2} y}{d x ^{2}} = x + y

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = x + y

Solve linear ODE:

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

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

y^{^{''}} - 10 y^{^{'}} + 25 y = x + 1 + e^{5 x}

y^{^{''}} - y^{^{'}} = - 7

x^{^{''}} + 9 x = sin (2.9 t)

y^{^{''}} - 7 y^{^{'}} + 12 y = 24

y^{^{''}} - 6 y^{^{'}} + 9 y = \frac{e ^{3 x}}{x}