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(d2y/dx2)2 + x(dy/dx)3 is a differential equation of
- a)degree 2, order 2
- b)degree 3, order 3
- c)order 2, degree 3
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
(d2y/dx2)2 + x(dy/dx)3 is a differential equation ofa)degree 2, order ...
Explanation:
Differential Equation:
- The given differential equation is (d^2y/dx^2)^2 + x(dy/dx)^3.
Degree and Order:
- The degree of a differential equation is the highest power of the highest order derivative present in the equation.
- The order of a differential equation is the highest order derivative present in the equation.
Analysis:
- In the given differential equation, the highest power of the highest order derivative is 2 (from (d^2y/dx^2)^2), which makes it a degree 2 differential equation.
- The highest order derivative present in the equation is d^2y/dx^2, which makes it an order 2 differential equation.
Conclusion:
- Therefore, the given differential equation (d^2y/dx^2)^2 + x(dy/dx)^3 is a differential equation of degree 2 and order 2.
Therefore, the correct answer is option 'A'.
Differential Equation:
- The given differential equation is (d^2y/dx^2)^2 + x(dy/dx)^3.
Degree and Order:
- The degree of a differential equation is the highest power of the highest order derivative present in the equation.
- The order of a differential equation is the highest order derivative present in the equation.
Analysis:
- In the given differential equation, the highest power of the highest order derivative is 2 (from (d^2y/dx^2)^2), which makes it a degree 2 differential equation.
- The highest order derivative present in the equation is d^2y/dx^2, which makes it an order 2 differential equation.
Conclusion:
- Therefore, the given differential equation (d^2y/dx^2)^2 + x(dy/dx)^3 is a differential equation of degree 2 and order 2.
Therefore, the correct answer is option 'A'.
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(d2y/dx2)2 + x(dy/dx)3 is a differential equation ofa)degree 2, order 2b)degree 3, order 3c)order 2, degree 3d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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