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Engineering Maths · Q15

Differential Equations

Engineering and GATE · Engineering Maths · question 15

Q15

Which one of the following is the general solution of the first order differential equation dy dx = ( x + y - 1 )^2, where x, y are real?

Which one of the following is the general solution of the first order differential equation    where x, y are real?
A.
y = 1 + x + tan-1(x + c), where c is a constant
B.
y = 1 + x + tan(x + c), where c is a constant
C.
y = 1 - x + tan-1(x + c), where c is a constant
D.
y = 1 - x + tan(x + c), where c is a constant
Answer

Answer: Option D

Solution

Answer: Option D
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