(3) x^2y" = 2xy - (y), y(1) = 4, 7(1) = 2 ololutions to the homogene

My best guess at interpreting this question is that you need to solve

which seems like a reasonable interpretation as this ODE is of a well-known type (Cauchy-Euler). And it looks like you're given two initial conditions, and .

Substitute , so that and . Then plugging these into the ODE gives

So the homogeneous ODE has general solution

This solution has derivative

From the initial conditions, we get

Solving this system gives

thus giving the particular solution,

a

step-by-step explanation: