D.( 25 pts) Find the general solution of the ODE y" + 2y + y = ex ln(x), x> 0.
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A: Handwritten solution provided.Explanation:Step 1:Step 2:Step 3: Step 4:
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Q: Nitin
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- YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.