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

Lösung

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

f (x) = c_{1} cos (x) + c_{2} sin (x)

Schritte zur Lösung

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

Solve linear ODE:

f (x) = c_{1} cos (x) + c_{2} sin (x)

f (x) = c_{1} cos (x) + c_{2} sin (x)

y^{^{''}} - 2 \cdot y^{^{'}} + y = 0

25 y^{^{''}} + 40 y^{^{'}} + 16 y = 0

y^{^{''}} + 3 y^{^{'}} - 10 y = 0, y (0) = 2, y^{^{'}} (0) = 4

y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = 0, y^{^{'}} (0) = 6

y^{^{''}} + 14 y^{^{'}} + 48 y = 0, y (0) = 9, y^{^{'}} (0) = - 66