- Consider the differential equation: xyy = x? – y? (a) Verify that this is a Bernoulli equation by expressing it in the form: y' + p(x)y = q(x)y" Solve the Bernoulli equation. (b) Verify that this is a homogeneous equation by expressing it in the form: y' = F (2) Solve the homogeneous equation. (c) Compare your answers from (a)-(b). Are they equivalent?

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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.