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

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

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(d^2y)/(dx^2)+a*y=0

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

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

Solution steps

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

Solve linear ODE:

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

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

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\int (\frac{( ln ( x ) )}{x})^{2} d x

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\frac{d y}{d x} = y (y + 1) x

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