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

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

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(d^2y)/(dx^2)=-49y

\frac{d ^{2} y}{d x ^{2}} = - 49 y

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} = - 49 y

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)

ln (tan (x^{3}))

\frac{d x}{d t} = - \frac{t}{x}

e^{2 t} sin (4 t)

(x^{3} - 2)^{2}

\frac{d}{d x} (x - 6 x)

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