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The solution of 
- a)y = sin x + y sin y + c
- b)y sin x + sin x + x = c
- c)y sin x + (sin y + y) x = c
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The solution ofa)y= sinx+ysiny+cb)ysinx+ sinx+x=cc)ysinx+ (siny+y)x=cd...
Comparing it with the equation,
Mdx + Ndy = 0
We have,
M = y cos x + sin y + y & N = sin x + x cos y + x
Mdx + Ndy = 0
We have,
M = y cos x + sin y + y & N = sin x + x cos y + x
Hence, the given differential equation is exact.
∴ The required solution will be given by,
∴ The required solution will be given by,
The correct answer is: y sin x + (sin y + y) x = c
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