Find the solution to the initial value problem $$ X(t)=\frac{\frac{d^{2} x}{d t^{2}}-14 \frac{d x}{dt}+49 x=0, x(0)-7, X^{\prime} (0)=2 .}{7 e^{7 X-47 x e^{7 x}}} $$ CS.SD. 1531