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Popular >

y^{''}=-y

Solution

y^{^{''}} = - y

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

integral of x-7

\int x - 7 d x

limit as x approaches+0 of (e^{x^2}-1)/x

x \to + 0 lim (\frac{e ^{x^{2}} - 1}{x})

derivative of (x^2+25/x)

\frac{d}{d x} (\frac{x ^{2} + 25}{x})

(\partial)/(\partial z)(ln(1+z^2))

\frac{\partial}{\partial z} (ln (1 + z^{2}))

integral of-(6000)/((3x+50)^2)

\int - \frac{6000}{( 3 x + 50 ) ^{2}} d x

Frequently Asked Questions (FAQ)

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