2. Solve the following 2nd-order ODE by using substitution techniques (similar to what we did with 1st-order ODES) to solve this differential equation. State any constant solutions other than y=0, if any, as well. xy" = y' - 2x²y

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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.