x^2y''-2xy'+2y=0 1.)x and x^2 show that their functions are linear independent solutions. 2.)Show the general solution 3.) y(1)=3,y'(1)=2 find the solution that satisfies the condition

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.