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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

y = x arcsin (x) + 1 - x^{2}

\frac{d y}{d x} = y + e^{x} y^{2}

t e^{6 t} sin (3 t)

- \frac{1}{7} (x^{- 7} - x^{14})

\frac{3 s + 4}{( s ^{2} + 4 s + 5 )}

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