(d^2f)/(dx^2)=a^2f(x)

Lösung

\frac{d ^{2} f}{d x ^{2}} = a^{2} f (x)

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

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} = a^{2} f

Solve linear ODE:

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

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

y^{^{'}} = y^{^{''}}

2 y^{^{''}} + 4 y^{^{'}} - 7 y = 0

81 y^{^{''''}} = 16 y

y^{^{''}} - 441 y = 0

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 10 x = 0