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Popular >

x^{''}=-x

Solution

x^{^{''}} = - x

Solution

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

Solution steps

x^{''} (t) = - x

Solve linear ODE:

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

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

Popular Examples

y = (2 y^{4} + 2 x) y^{^{'}}

derivative of (e^{2x})/(sin(3x))derivative of

\frac{e ^{2 x}}{sin ( 3 x )}

integral of (2x)/3

\int \frac{2 x}{3} d x

integral of (7x^2)/(sqrt(4x-x^2))

\int \frac{7 x ^{2}}{4 x - x ^{2}} d x

integral from 0 to 1 of xsqrt(3-x^2)

\int_{0}^{1} x 3 - x^{2} d x

Frequently Asked Questions (FAQ)

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