Differential EquationMedium
Question
Number of straight lines which satisfy the differential equation 
+ x
- y = 0 is -
+ x- y = 0 is -Options
A.1
B.2
C.3
D.4
Solution
y = mx + c ⇒ 
= m
It satisfies
+ x 
- y = 0
m+ xm2 - mx - c = 0
x(m2 - m) + (m - c ) = 0
This is an identity so
m = 0 or m = 1 & c = m
So two such straight line are possible.
= mIt satisfies
+ x - y = 0m+ xm2 - mx - c = 0
x(m2 - m) + (m - c ) = 0
This is an identity so
m = 0 or m = 1 & c = m
So two such straight line are possible.
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