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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