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If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are
(a) m=-7,n=1 (b) m=1,n=-7
(c) M=n=1
(d) m=n=0?
(a) m=-7,n=1 (b) m=1,n=-7
(c) M=n=1
(d) m=n=0?
Most Upvoted Answer
If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-...
Given Equation: I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym
To find m and n:
- Identify the terms in the given equation:
The given equation is in the form of I.F. of the differential equation, where the terms are (x^7y² + 3y)dx and (3x^8y-x)dy.
- Calculate partial derivatives:
Calculate ∂(x^7y² + 3y)/∂y and ∂(3x^8y-x)/∂x.
- Compare with the given form:
Compare the calculated partial derivatives with the given form xmym to determine the values of m and n.
- Determine m and n:
Since the given equation is in the form of I.F., the values of m and n should be the exponents of x and y terms in the respective partial derivatives.
- Final values:
Based on the comparison, the correct values of m and n are determined.
Therefore, the correct option is (a) m=-7, n=1.
To find m and n:
- Identify the terms in the given equation:
The given equation is in the form of I.F. of the differential equation, where the terms are (x^7y² + 3y)dx and (3x^8y-x)dy.
- Calculate partial derivatives:
Calculate ∂(x^7y² + 3y)/∂y and ∂(3x^8y-x)/∂x.
- Compare with the given form:
Compare the calculated partial derivatives with the given form xmym to determine the values of m and n.
- Determine m and n:
Since the given equation is in the form of I.F., the values of m and n should be the exponents of x and y terms in the respective partial derivatives.
- Final values:
Based on the comparison, the correct values of m and n are determined.
Therefore, the correct option is (a) m=-7, n=1.
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If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0?
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If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0?.
If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If I.F. of (x^7y² + 3y)dx + (3x^8y-x)dy=0 is xmym then m, n are(a) m=-7,n=1 (b) m=1,n=-7(c) M=n=1(d) m=n=0?.
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