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Its 2:30am, my maths has to be handed in in 9 hours and 30 minutes, I have half a cup of coffee, its dark and I'm wearing sunglasses. Lets go.

1. Solve the following first order ODE's:

i) x(dy/dx)+3y=x^2       (x>0)

ii) dy/dx - 2xy=x

iii) dy/dt=(t^2)y

iv) x^2(dy/dx)=x^2+3xy+y^2         (x>0)