What is the solution for (d^2y)/(dx^2)+44y=0 ?

The solution for (d^2y)/(dx^2)+44y=0 is y=c_{1}cos(2sqrt(11)x)+c_{2}sin(2sqrt(11)x)

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(d^2y)/(dx^2)+44y=0

\frac{d ^{2} y}{d x ^{2}} + 44 y = 0

y = c_{1} cos (211 x) + c_{2} sin (211 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 44 y = 0

Solve linear ODE:

y = c_{1} cos (211 x) + c_{2} sin (211 x)

y = c_{1} cos (211 x) + c_{2} sin (211 x)

8 y^{^{''}} + 4 y^{^{'}} + y = 0, y (0) = 0, y^{^{'}} (0) = 1

(0.1) x^{^{''}} + (0.4) x^{^{'}} + 2 x = 0

10 x^{^{''}} + 40 x^{^{'}} + \frac{1}{50} x = 0

y^{^{''}} + 2 y^{^{'}} + 26 y = 0, y (0) = 3, y^{^{'}} (0) = - 1

y^{^{''}} - 12 y^{^{'}} + 52 y = 0, y (\frac{π}{8}) = 1, y (0) = 8

What is the solution for (d^2y)/(dx^2)+44y=0 ?
The solution for (d^2y)/(dx^2)+44y=0 is y=c_{1}cos(2sqrt(11)x)+c_{2}sin(2sqrt(11)x)