ORDER AND DEGREE OF DIFFERENTIAL EQATION PRACTICE PROBLEMS

Find the order and degree of the following differential equations.

(1)  (dy/dx) + y  =  x2

(2)  y' + y2  =  x

(3)  y'' + 3 (y')2 + y3

(4)  d2y/dx2 + x  =  √[y + (dy/dx)]

(5)  d2y/dx2 - y + (dy/dx + d3y/dx3)(3/2)  =  0

(6)  y''  =  (y - (y')3)(2/3)

(7)  y' + (y'')2  =  (x + y'')2

(8)  (dy/dx)2 + x = (dx/dy) + x2

Answers

(1)  Order  =  1 and degree  =  1.

(2)  Order  =  2 and degree  =  1.

(3)  Order  =  2 and degree  =  1.

(4)  Order  =  2 and degree  =  2.

(5)  Order  =  3 and degree  =  3.

(6)  Order  =  2 and degree  = 3.

(7)  Order  =  2 and degree  =  1.

(8)  Order  =  1 and degree  =  3.

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