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Popular >

y^{''}=-k^2*y

Solution

y^{^{''}} = - k^{2} \cdot y

Solution

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

Solution steps

y^{''} (t) = - k^{2} \cdot y

Solve linear ODE:

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

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

Graph

Popular Examples

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f (x) = e^{\frac{x}{3}}

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\int x e^{\frac{1}{2} x} d x

tangent of 2x^4+(3x)/5 tangent of

2 x^{4} + \frac{3 x}{5}

integral of cos((2pinx)/3)

\int cos (\frac{2 πn x}{3}) d x

(d^2)/(dx^2)(21e^{1/x})

\frac{d ^{2}}{d x ^{2}} (21 e^{\frac{1}{x}})

Frequently Asked Questions (FAQ)

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