Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx}=52yx^{12},\quad y(x=0)=2\\\frac{dy}{y}=52x^{12}dx\\\int_2^y\frac{dy}{y}=52\int_0^x x^{12}dx\\\ln y|_2^y=52\frac{x^{13}}{13}|_0^x\\\ln\frac{y}{2}=4x^{13}\\y=2e^{4x^{13}}[/tex]
