Find the general solution of the given differential equations. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution.

y' + 2xy = (x^3)

ydx = (y(e^y) - 2x)dy

(dP)/(dt) + 2tP = P + 4t - 2

Question

Find the general solution of the given differential equations. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution. 

y' + 2xy = (x^3)
 
ydx = (y(e^y) - 2x)dy

(dP)/(dt) + 2tP = P + 4t - 2

anonymous · Answer

Good L.

anonymous · Answer

try the 'integrating factor' on the first one, multiply through by   
$$e ^{\int\limits_{}^{}2x}$$