xdx + ydy = (x2 +y)dx

Q: 【D³ + 3D² + 3D + 2)y = 0

A: Solution:

Q: dy X- + xlnx- y = 0 dx where y(1) = 3.

A: Solution

Q: ず-8g+y ガ-8g+y=(x+8x) ex パ+82

A:

Q: (8) (4ry + 3y)dr+ (5x²y+4r)dy = 0 µ(r²y³)

A: The solution is given as

Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

A:

Q: dy (e) x=2y+3x dx dy у-x (f) • y(1) =1 dx y+x (3) (x² + y³)– xy² . = 0 dx (h) x² – y² – 2.xy=0 dy =…

A:

Q: -2t (1+t)y +4ty = 16e

A:

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

A:

Q: (7) 2ry ln ydr + (²+ỷVF+1)dy= 0 ||

A: The differential equation of the form; Mdx+Ndy=0 is said to be exact if; ∂M∂y=∂N∂x And the solution…

Q: d?y + 4 + 4y(t) = 2e-tu(t) , y(0) = 3, y(0) = 0 dy dt2 dt

A:

Q: 9. y" - y' - 2y = 4x²; y(0) = 1, y'(0) = 4

A: The given differential equation is,Note that as per the rules, we are supposed to answer the first…

Q: 5. (D² + 1)y = 10e2x; when x = 0, y = 0,y' = 0 %3D

A: Find complementary function and particular integral then solution is given by y(x)= CF + PI .