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Popular >

x^{''}+x=0

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of 2x^2+1 derivative of

2 x^{2} + 1

integral of 1/2 (e^x+e^{-x})

\int \frac{1}{2} (e^{x} + e^{- x}) d x

(dy)/(dx)(x)=y+(x^2-3)^2

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

sum from n=1 to infinity of (n!)/n

n = 1 \sum \infty \frac{n !}{n}

limit as x approaches 0 of-7x^2+7

x \to 0 lim (- 7 x^{2} + 7)

Frequently Asked Questions (FAQ)

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