I am not sure which method to solve these, If anyone could just tell which method I can use to solve them. The ones I know are: Using a integrating factor, method of separable equations, exact equations.

1. $\displaystyle \frac{dy}{dt} = \frac{5y+3t^4}{t} $

2. $\displaystyle \frac{dy}{dx} = -\frac{2x+y^4}{4xy^3} $

3. $\displaystyle y^i = -\frac{4t^3y+2y-5}{t^4+2y} $

(above: Suppose to be y prime)