Find the solution the following differential equations and initial value problems. Write your solutions in the explicit form $y=f(x)$ where possible.

$dy-sin(4x)dx=0$

$y^{\text{'}}=(y-4{)}^2$

$dx+e^{5x}dy=0$

$x{y}^{\text{'}}=6y$

$y^{\text{'}}=y-y^2,y(0)=10$

$\frac{dx}{dt}=7(x^2+1),x(\frac{}{4})=1$