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Determine the order and degree of the differential equation


  1. y"+y"" = siny
  2. x d^3y/dx^3 + 7 dy/dx - 7y = 0

Solve : 

(D² + 5DD' + 5D'²) z = x sin (3x — 2y)


y"+3y=0 , y(0)=0 and y'(3)=0


a.

cos(x)y'+sin(x)y=2cos^3(x)sin(x)-1 y(π/4)=3√2, 0<=x< π/2

b.

2xy-9x^3+(2y+x^2+1)dy/dx=0 y(0)=-3

c.

y'+4/x y=x^3y^2


DX/x+y=dy/x+y=DX/-(x+y+2z)


2ty/t^2+1 -2t(2-ln(t^2+1))y'=0​


5. (x + 2y − 1)dx − (2x + y − 5)dy = 0


4. (9x − 4y + 4)dx − (2x − y +) = 0


3. (x + y − 1)dx + (2x + 2y + 1)dy = 0


2. (2x − y)dx + (4x + y − 6)dy = 0