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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\int 6 e^{3 x} d x

x \to 0 lim (\frac{sin ( 3 x )}{3})

x \to 0 lim (\frac{x ^{4} + 2 x}{x})

\frac{d y}{d x} = \frac{( x ^{2} + 3 y ^{2} )}{( 2 x y )}

\int \frac{1}{x ^{2} + a} d x

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