Consider the partial differential equation u; + uu, = 7+ u. Determine the order of this equation; state whether this equation is linear or nonlinear. Partial derivatives are denoted by subscripts. The equation is The order of the equation is

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Q: Solve the differential equetion (x²y²Jdy=2xydx -

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Q: Is yll +9y = 12 linear or nonlinear?

A:

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.