- #1

- 27

- 0

## Homework Statement

[tex]x^2\frac{dy}{dx}=\frac{2sqrt(y)}{x^4}[/tex]

Where y(1)=3

## Homework Equations

## The Attempt at a Solution

[tex]\int \frac{dy}{2sqrt(y)}=\int \frac{dx}{x^4}[/tex]

[tex]4sqrt(y)=\frac{-1}{3x^3}+c[/tex]

[tex]c=4sqrt(3)+\frac{1}{3}[/tex]

So i end up with

[tex]4sqrt(y)=\frac{-1}{3x^3}+4sqrt(3)+\frac{1}{3} [/tex]

I'v gone wrong somewhere as the solution given does not match, i just can't spot where my mistake is. Thanks in advance for any help