What is the solution for (d^2y)/(dx^2)+25y=0 ?

The solution for (d^2y)/(dx^2)+25y=0 is y=c_{1}cos(5x)+c_{2}sin(5x)

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(d^2y)/(dx^2)+25y=0

\frac{d ^{2} y}{d x ^{2}} + 25 y = 0

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 25 y = 0

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x)

x \to 1 - lim (\frac{1 - x}{1 + x})

\frac{8 x ^{2} + 8 x + 6}{x}

\frac{d}{d x} (x^{0.15})

\int_{2}^{\infty} e^{- 6 x} d x

y^{^{''}} - 10 y^{^{'}} + 25 y = 30 x + 3

What is the solution for (d^2y)/(dx^2)+25y=0 ?
The solution for (d^2y)/(dx^2)+25y=0 is y=c_{1}cos(5x)+c_{2}sin(5x)