Differential EquationHard
Question
The differential equation which represents the family of curves y = c1ec2x, where c1 and c2 arearbitrary constants is
Options
A.y′ = y2
B.y′′ = y′y
C.yy′′ = y′
D.yy′′ = (y′)2
Solution
y = c1ec2x ......(1)
y′ = c2c1ec2x
y′ = c2y ......(2)
y′′ = c2y′
From (2)
So, y″ =
⇒ yy″ = (y′)2
y′ = c2c1ec2x
y′ = c2y ......(2)
y′′ = c2y′
From (2)
So, y″ =
⇒ yy″ = (y′)2Create a free account to view solution
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