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Order of a differential equation is defined as
- a)the number of constant terms
- b)the order of the lowest order derivative ofthe dependent variable
- c)the order of the highest order derivative ofthe dependent variable
- d)the number of derivative terms
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Order of a differential equation is defined asa)the number of constant...
Order of a differential equation is defined asthe order of the highest order derivative ofthe dependent variable.
Most Upvoted Answer
Order of a differential equation is defined asa)the number of constant...
It is the way it is defined as... the order of any differential function is the highest order derivative.
for ex. y"+y'=x has highest order of derivative as y" so order will be two.
hope it helps
for ex. y"+y'=x has highest order of derivative as y" so order will be two.
hope it helps
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Order of a differential equation is defined asa)the number of constant...
Explanation:
The order of a differential equation is defined as the highest order derivative among all the derivatives present in the equation. Let's break down the explanation into key points:
Order of a Differential Equation:
- The order of a differential equation is determined by the highest order derivative of the dependent variable in the equation.
- It signifies how many times the dependent variable has been differentiated in the equation.
Understanding the Definition:
- When we talk about the order of a differential equation, we are looking at the derivative with the highest power.
- The order gives us an idea of the complexity of the differential equation and the number of conditions needed to solve it.
Significance of Order:
- The order helps us classify differential equations based on their complexity and the methods required to solve them.
- It provides a systematic way to approach and analyze differential equations in various fields of mathematics and science.
Conclusion:
In conclusion, the order of a differential equation is crucial in understanding the nature and difficulty of the equation. By identifying the highest order derivative, we can determine the steps needed to solve the equation effectively.
The order of a differential equation is defined as the highest order derivative among all the derivatives present in the equation. Let's break down the explanation into key points:
Order of a Differential Equation:
- The order of a differential equation is determined by the highest order derivative of the dependent variable in the equation.
- It signifies how many times the dependent variable has been differentiated in the equation.
Understanding the Definition:
- When we talk about the order of a differential equation, we are looking at the derivative with the highest power.
- The order gives us an idea of the complexity of the differential equation and the number of conditions needed to solve it.
Significance of Order:
- The order helps us classify differential equations based on their complexity and the methods required to solve them.
- It provides a systematic way to approach and analyze differential equations in various fields of mathematics and science.
Conclusion:
In conclusion, the order of a differential equation is crucial in understanding the nature and difficulty of the equation. By identifying the highest order derivative, we can determine the steps needed to solve the equation effectively.
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Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer?.
Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Order of a differential equation is defined asa)the number of constant termsb)the order of the lowest order derivative ofthe dependent variablec)the order of the highest order derivative ofthe dependent variabled)the number of derivative termsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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