(d^2f)/(dx^2)+(df)/(dx)=0

Lösung

\frac{d ^{2} f}{d x ^{2}} + \frac{df}{d x} = 0

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

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} + \frac{df}{d x} = 0

Solve linear ODE:

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

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

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = 1

y^{^{''}} + 2 y^{^{'}} + 2 y = 0, y (\frac{π}{4}) = 0, y^{^{'}} (\frac{π}{4}) = - 2

l in e a r y^{^{'''}} + 19 y^{^{''}} - 14 y^{^{'}} - 266 y = 0

40 y^{^{''}} - a y^{^{'}} + 4000 y = 0

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 0