Pregunta: Find y as a function of t if 625y′′−729y=0 with y(0)=1,y′(0)=5. y= ?

Given the function: $625\mathrm{y}{}^{″}-729\mathrm{y}=0$.

The initial values are $\mathrm{y}\left(0\right)=1$, ${\mathrm{y}}^{\prime }\left(0\right)=5$.

The objective: To evaluate $\mathrm{y}$ as a function of $\mathrm{t}$.