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) = 6xy) and (N(x, y) = 4y + 9x^2). A function ______ __________ ____ __________ ________ _________ ________ ___ __________ __________ __________.
________ _____ ___ ____ ___ _____ _______ ______ __________ _________ ___ _________.
____ ______ ________ ____ __________ _____.
___ ________ ___ ____ ____ ______ ______ ____ ________ _____ ________ _______.
______ ______ _______ ___ ____ ______ _____.
_______ ____ ___ _______ ____ ___ ______ _______.
_____ ____ _________ ____ ______ ___ ___.
______ _________ _______ __________ ______ ______ ___ _________ ___.
____ _____ ______ _________ _________.
________ ______ __________ _______ ______ __________ _______ _____.
_______ _______ ____ _________ _________ ______ _________ __________ _____.
____ _____ ______ _________.
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The given differential equation is: [ 6xy , dx + (4y + 9x^2) , dy = 0 ] Let (M(x, y) = 6xy) and (N(x, y) = 4y + 9x^2). A function ______ __________ ____ __________ ________ _________ ________ ___ __________ __________ __________.
________ _____ ___ ____ ___ _____ _______ ______ __________ _________ ___ _________.
____ ______ ________ ____ __________ _____.
___ ________ ___ ____ ____ ______ ______ ____ ________ _____ ________ _______.
______ ______ _______ ___ ____ ______ _____.
_______ ____ ___ _______ ____ ___ ______ _______.
_____ ____ _________ ____ ______ ___ ___.
______ _________ _______ __________ ______ ______ ___ _________ ___.
____ _____ ______ _________ _________.
________ ______ __________ _______ ______ __________ _______ _____.
_______ _______ ____ _________ _________ ______ _________ __________ _____.
____ _____ ______ _________.
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