What is the solution for (d^2)/(dx^2)y+49y=0 ?

The solution for (d^2)/(dx^2)y+49y=0 is y=c_{1}cos(7x)+c_{2}sin(7x)

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(d^2)/(dx^2)y+49y=0

\frac{d ^{2}}{d x ^{2}} y + 49 y = 0

y = c_{1} cos (7 x) + c_{2} sin (7 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 49 y = 0

Solve linear ODE:

y = c_{1} cos (7 x) + c_{2} sin (7 x)

y = c_{1} cos (7 x) + c_{2} sin (7 x)

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

x \to 7 lim (\frac{( x + 7 )}{x - 7})

n = 0 \sum \infty (- 2)^{3 - 2 n} \cdot 3

2^{x}

x \to 4 lim (7 \cdot a + x)

What is the solution for (d^2)/(dx^2)y+49y=0 ?
The solution for (d^2)/(dx^2)y+49y=0 is y=c_{1}cos(7x)+c_{2}sin(7x)