Question
State whether the following statements are true or false. Justify your answer with the help of a short proof or a counter example:
a) y2 is an integrating factor of the differential equation:
.
Answer :
Word Count : 130
The given differential equation is: [ 6xy , dx + (4y + 9x^2) , dy = 0 ] Let (M(x, y) _______ ____ ____ ______ _______ ___ _______ _____ _______ _________.
_______ _____ _______ ___ ________ ____ ______ _____ _____ ____ ___.
____ ___ ___ _____ _________ _____.
________ _____ ____ _______ __________ ______ _______ ______ __________.
_________ __________ ___ ________ ________ ______ _____ _________ _______.
____ ________ _________ ______ _____.
____ ___ _________ ___ __________ ______ ___.
_________ _____ ______ _________ ___ _______ ____.
______ ___ __________ _________ ___.
______ ______ _________ ____ ___ _________ ___ __________ _______.
_____ _______ _______ ________ _____ _________ ____ _____.
_________ _____ __________ ___ ____ ____ _______ ___ ________ _____.
______ ____ ___ _____ ____ _____.
__________ ___ _______ ___ ________ _____.
________.
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The given differential equation is: [ 6xy , dx + (4y + 9x^2) , dy = 0 ] Let (M(x, y) _______ ____ ____ ______ _______ ___ _______ _____ _______ _________.
_______ _____ _______ ___ ________ ____ ______ _____ _____ ____ ___.
____ ___ ___ _____ _________ _____.
________ _____ ____ _______ __________ ______ _______ ______ __________.
_________ __________ ___ ________ ________ ______ _____ _________ _______.
____ ________ _________ ______ _____.
____ ___ _________ ___ __________ ______ ___.
_________ _____ ______ _________ ___ _______ ____.
______ ___ __________ _________ ___.
______ ______ _________ ____ ___ _________ ___ __________ _______.
_____ _______ _______ ________ _____ _________ ____ _____.
_________ _____ __________ ___ ____ ____ _______ ___ ________ _____.
______ ____ ___ _____ ____ _____.
__________ ___ _______ ___ ________ _____.
________.
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