What is the solution for y^{''}+ky=0 ?

The solution for y^{''}+ky=0 is y=c_{1}cos(sqrt(k)t)+c_{2}sin(sqrt(k)t)

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y^{''}+ky=0

y^{^{''}} + k y = 0

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

Solution steps

y^{''} (t) + k y (t) = 0

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)

f (x) = 4 e^{x} - x^{3}

\int \frac{1}{21 - x ^{2}} d x

n = 0 \sum \infty (\frac{π}{4})^{n}

\frac{8 x}{3 - 4 x}

\int x^{5} cos (x^{6}) d x

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