Differential EquationHard
Question
The equation of curve passing through (3, 4) and satisfying the differential equation y 
+ (x - y) 
- x = 0 is
+ (x - y) - x = 0 isOptions
A. x - y + 1 = 0
B.x + y + 1 = 0
C.x - y - 1 = 0
D.y - x + 1 = 0
Solution
y 
- x = 0
y
∴ either ydy + xdx = 0 or dy - dx = 0
since the curves pass through the point (3, 4)
∴ x2 + y2 = 25 or x - y + 1 = 0
- x = 0y
∴ either ydy + xdx = 0 or dy - dx = 0
since the curves pass through the point (3, 4)
∴ x2 + y2 = 25 or x - y + 1 = 0
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