Differential Equations · Class 12 · CBSE · Science Mathematics
For the differential equation ((d²y/dx²)^3) + ((dy/dx)^5) + y = 0, what are its order and degree?
Practice question from Differential Equations (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-14B8D2
For the differential equation ((d²y/dx²)^3) + ((dy/dx)^5) + y = 0, what are its order and degree?
- A.Order 1, degree 3
- B.Order 2, degree 3Correct answer
- C.Order 2, degree 5
- D.Order 3, degree 2
Solution
The highest order derivative is , so the order is 2. Its highest power is 3, so the degree is 3.
More from Differential Equations
- Find the solution of dy/dx = (1 + y²)/(1 + x²), given that y = 0 when x = 0.
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