Differential EquationEasy
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
View Solution FreeMore Differential Equation Questions
Let I be the purchase value of an equipment and V(t) be the value after it has been used for t years. The value V(t) dep...The solution of the differential equation , is -...Solution of the equation cos x cos y = − sin x sin y is-...A curve passes through the point & its slope at any point is given by - cos2 . Then the curve has the equation -...Let $y = y(x)$ be the solution curve of the differential equation $\left( 1 + x^{2} \right)dy + \left( y - \tan^{- 1}x \...