How Does the Decreasing Mass of the Sun Affect Earth's Orbital Radius?

[phyworld]

1. The mass of the sun is decreasing as dM/dt=-constant .M
Find [dr/dt]/r for the earth

Homework Equations

3. I tried using M=M0-alpha. t and then separating the variables in the equation GMm/r^2=mdv/dt. I don't knot the right way to solve this. Plz tell me how to solve this problem and where can i find similar problems. I need your reply soon as i am preparing for qualifying exam.Thanx
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[malawi_glenn]

We don't give solutions here.

There are a lot of physics problems books like "Schaum's Outline" etc.

Now I would try the centripetal force.