Help in differential equations!

I have calculus homework and I have no clue how to do this! If you could help me that would be great!!

#1 Find the solution to the differential equation:

(ln(y))^6 dy/dx = x^6y

which satisfies the initial condition y(1) = e^2
y= ??

#2 Solve separable differential equation for u

du/dt= e^3u+3t

Use the following initial condition: u(0) = 17

u=

#3 Find the particular solution of the differential equation -- dy/dx = (x - 7)e^-2y

satisfying the condition y(7) = ln(7)

y= ??

First person who writes will get 10 points!!

Hint: all of these , use separation variables method