GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
46 views

The differential equation

$\frac{dy}{dx}= y^{1/3}, y(0)=0$ has

  1. A unique solution
  2. No nontrivial solution 
  3. Finite number of solutions.
  4. Infinite number of solutions. 
asked in Calculus by Veteran (28.1k points)   | 46 views

1 Answer

0 votes

dy/dx = y1/3

or,∫dy/(y1/3) =∫dx + c

or, y2/3 /(2/3) = x + c

or,3/2 . y2/3 = x + c

or,3/2 . 0 = 0 + c

or, c=0

or, 3/2 . y2/3 = x 

Now say y=8, x=3/2 . 4 =6

Ans will be (D)

 

answered by Veteran (49.7k points)  
Top Users Jan 2017
  1. Debashish Deka

    8608 Points

  2. sudsho

    5398 Points

  3. Habibkhan

    4718 Points

  4. Bikram

    4522 Points

  5. Vijay Thakur

    4468 Points

  6. saurabh rai

    4222 Points

  7. Arjun

    4122 Points

  8. santhoshdevulapally

    3742 Points

  9. Sushant Gokhale

    3576 Points

  10. GateSet

    3394 Points

Monthly Topper: Rs. 500 gift card

19,177 questions
24,073 answers
52,975 comments
20,310 users