f^{''}(x)+f(x)=0

Lösung

f^{^{''}} (x) + f (x) = 0

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

Schritte zur Lösung

f^{''} (x) + f (x) = 0

Solve linear ODE:

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

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

x^{^{''}} + 14 x^{^{'}} + 49 x = 0

y^{^{''}} + 4 y = 0, y^{^{'}} (π) = 0, y (0) = 0

x^{^{''}} - x^{^{'}} - 2 x = 0

y^{^{''}} - 3 y^{^{'}} - 10 y = 0, y (0) = 1

x^{^{''}} - 7 x^{^{'}} - 8 x = 0