What is the solution for y^{''}+10y=0 ?

The solution for y^{''}+10y=0 is y=c_{1}cos(sqrt(10)t)+c_{2}sin(sqrt(10)t)

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y^{''}+10y=0

y^{^{''}} + 10 y = 0

y = c_{1} cos (10 t) + c_{2} sin (10 t)

Solution steps

y^{''} (t) + 10 y = 0

Solve linear ODE:

y = c_{1} cos (10 t) + c_{2} sin (10 t)

y = c_{1} cos (10 t) + c_{2} sin (10 t)

\int \frac{17 x ^{7}}{315} d x

\int \frac{cos ( x )}{3} d x

\frac{d}{d x} ((x^{2} - x + 1)^{3})

(cos (5 x)) y^{^{'}} + 5 (tan (5 x)) y = - 9 sec (5 x)

y = (1 + x^{2}) (3 - 2 x)

What is the solution for y^{''}+10y=0 ?
The solution for y^{''}+10y=0 is y=c_{1}cos(sqrt(10)t)+c_{2}sin(sqrt(10)t)