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Order and degree of differential equation e^y'"-y"+xy =0?
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Order and degree of differential equation e^y'"-y"+xy =0?
Order and degree of the differential equation:
The given differential equation is e^y'" - y' + xy = 0. Let's analyze the order and degree of this differential equation.
Order of the differential equation:
- The order of a differential equation is the highest order derivative present in the equation.
- In this case, the highest order derivative is y''', which means the order of the differential equation is 3.
Degree of the differential equation:
- The degree of a differential equation is determined by the power of the highest order derivative.
- The power of y''' is 1 (since e^y''' has no power explicitly stated), so the degree of the differential equation is also 1.
Therefore, the order of the given differential equation e^y'" - y' + xy = 0 is 3 and the degree is 1. It is essential to correctly identify the order and degree of a differential equation to determine the methods and techniques needed to solve it effectively.
The given differential equation is e^y'" - y' + xy = 0. Let's analyze the order and degree of this differential equation.
Order of the differential equation:
- The order of a differential equation is the highest order derivative present in the equation.
- In this case, the highest order derivative is y''', which means the order of the differential equation is 3.
Degree of the differential equation:
- The degree of a differential equation is determined by the power of the highest order derivative.
- The power of y''' is 1 (since e^y''' has no power explicitly stated), so the degree of the differential equation is also 1.
Therefore, the order of the given differential equation e^y'" - y' + xy = 0 is 3 and the degree is 1. It is essential to correctly identify the order and degree of a differential equation to determine the methods and techniques needed to solve it effectively.
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Order and degree of differential equation e^y'"-y"+xy =0?
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Order and degree of differential equation e^y'"-y"+xy =0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Order and degree of differential equation e^y'"-y"+xy =0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Order and degree of differential equation e^y'"-y"+xy =0?.
Order and degree of differential equation e^y'"-y"+xy =0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Order and degree of differential equation e^y'"-y"+xy =0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Order and degree of differential equation e^y'"-y"+xy =0?.
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