What is the solution for (d^2)/(dx^2)y+36y=0 ?

The solution for (d^2)/(dx^2)y+36y=0 is y=c_{1}cos(6x)+c_{2}sin(6x)

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(d^2)/(dx^2)y+36y=0

\frac{d ^{2}}{d x ^{2}} y + 36 y = 0

y = c_{1} cos (6 x) + c_{2} sin (6 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 36 y = 0

Solve linear ODE:

y = c_{1} cos (6 x) + c_{2} sin (6 x)

y = c_{1} cos (6 x) + c_{2} sin (6 x)

\int \frac{x ^{2}}{x ^{2} - 6} d x

\frac{\partial}{\partial x} (5 e^{x y})

\frac{d}{d x} (\frac{3 x - 5}{x ^{2} + 7})

\frac{d}{d x} (- 12 e^{- 2 x})

x \to 3 lim (\frac{3 x - 9}{x - 3})

What is the solution for (d^2)/(dx^2)y+36y=0 ?
The solution for (d^2)/(dx^2)y+36y=0 is y=c_{1}cos(6x)+c_{2}sin(6x)