In equation of the form Mdx+Ndy=0 where N is the function of
(A) x only
(B) y only
(C) both A and B true
(D) none of these
Answers
Answer:
x only is the write answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
In equation of the form M dx + N dy = 0 where N is the function of
(A) x only
(B) y only
(C) both A and B true
(D) none of these
EVALUATION
A differential equation of the form
M(x, y) dx + N(x, y) dy = 0
is said to be exact if its left hand member is the exact differential of some function u(x, y) i.e
du ≡ M dx + N dy = 0
Its solution , therefore , is u(x, y) = c
From above we can conclude that N is the function of x and y
FINAL ANSWER
Hence the correct option is
(C) both A and B true
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