Order and Degree of Differential Equation Practice Problems

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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