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

The solution for (d^2)/(dθ^2)(y(θ))+y(θ)=0 is y=c_{1}cos(θ)+c_{2}sin(θ)

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(d^2)/(dθ^2)(y(θ))+y(θ)=0

\frac{d ^{2}}{d θ ^{2}} (y (θ)) + y (θ) = 0

y = c_{1} cos (θ) + c_{2} sin (θ)

Solution steps

\frac{d ^{2} y}{d θ ^{2}} + y = 0

Solve linear ODE:

y = c_{1} cos (θ) + c_{2} sin (θ)

y = c_{1} cos (θ) + c_{2} sin (θ)

What is the solution for (d^2)/(dθ^2)(y(θ))+y(θ)=0 ?
The solution for (d^2)/(dθ^2)(y(θ))+y(θ)=0 is y=c_{1}cos(θ)+c_{2}sin(θ)