What is the solution for 10x^{''}+1000x=0 ?

The solution for 10x^{''}+1000x=0 is x=c_{1}cos(10t)+c_{2}sin(10t)

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10x^{''}+1000x=0

10 x^{^{''}} + 1000 x = 0

x = c_{1} cos (10 t) + c_{2} sin (10 t)

Solution steps

10 x^{''} (t) + 1000 x = 0

Solve linear ODE:

x = c_{1} cos (10 t) + c_{2} sin (10 t)

x = c_{1} cos (10 t) + c_{2} sin (10 t)

\frac{d}{d x} (\frac{4 π x ^{3}}{3})

(e^{x} + e^{- x})^{^{'}}

x (x + 1) y^{^{'}} + x y = 1, y (e) = 1

\int (- \frac{2 x y}{( x ^{2} + y ^{2} )}) d y

\frac{\partial}{\partial x} ((1 + x) sin (y))

What is the solution for 10x^{''}+1000x=0 ?
The solution for 10x^{''}+1000x=0 is x=c_{1}cos(10t)+c_{2}sin(10t)