The differential equation below is given for x> 0 (64x^(2)+24xy+y^(2))dx−8x^(2)dy=0 8dy/dx=F(y/x)= ? b) Thus, this equation can be said to be "homogeneous". So find the transformation that needs to be done to solve the equation: u=?  (dy/dx)=? c) Using this transformation, separate the resulting equation in terms of x, u and (du/dx) as follows 8.....du=......dx        ......=?

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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.