Find  as a series of ascending powers of (x+1) , up to and including the term (x+1)4 ,an approximate value of the differential equation d2y/dx2-4x(dy/dx)+2y=0  given that y=0 and dy/dx=-1 when x=-1 Use your solutions to find the value of y when x=-1.2

Q: dy/dp= − (4/5) (y/p+9) Solve this differential equation if y = 8  when p = $23.

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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.