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Popular >

y^{''}=-a^2y

Solution

y^{^{''}} = - a^{2} y

Solution

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

Solution steps

y^{''} (t) = - a^{2} y

Solve linear ODE:

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

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

Popular Examples

limit as x approaches 3-of cx^2+6x

x \to 3 - lim (c x^{2} + 6 x)

integral of (4x^3+x^2)

\int (4 x^{3} + x^{2}) d x

integral of 1/(xsqrt(25-4x^2))

\int \frac{1}{x 25 - 4 x ^{2}} d x

integral from 0 to 4 of x(sqrt(x)-1)

\int_{0}^{4} x (x - 1) d x

x y^{^{'}} + y = 6 x y^{2}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}=-a^2y ?
The solution for y^{''}=-a^2y is y=c_{1}cos(at)+c_{2}sin(at)