dy 2. Consider the differential equation dx = y?. (a) Give the order of this equation. Is it linear? Autonomous? Homogeneous? (b) Show that y = (C – x)-1 is always a solution to this differential equation. (c) For which value of C does our solution also satisfy the initial condition y(0) = -2? And what is the domain of this solution?

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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.