The differential equation whose solution is $y={{c}_{1}}\cos ax+{{c}_{2}}\sin ax$ is (Where ${{c}_{1}},\ {{c}_{2}}$are arbitrary constants)

Question

Accepted Answer

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

Answer

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

Answer

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

Answer

$\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{a}^{2}}y=0$

diff-equation