The indicial equation for the differential equation " +7y-5xy 0 is O A. (r+ 7) = 0 O B. P(7r - 1) = 0 Oc rr- 6) = 0 OD (7r + 1) = 0 O E. "(*+ 6) = 0

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: Solve the exact differential equation: (2x+1+2xy) dx + (x2 +  4y3) dy = 0

A: (2x+1+2xy ) dx + (x2 + 4y3) dy = 0  on comparing with   Mdx + Ndy  , we get ,       M =…

Q: dy +y: da 20

A: The value of n is -2

Q: For the differential equation y'' + 42y' + 152y = 8 cos(8x) Answer to the previous part: P(r) = r² +…

A:

Q: a. y = C,e=x + Cze-2x + x

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.