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## Homework Statement

Note: Here your solution is implicitly defined, i.e. you can not rearrange the solution to get an explicit expression for y. Therefore you need to enter your solution as an equation. You should enter your solution in the form f(x,y) = constant where you have determined both f(x,y) and the constant (for example: sin(y)/x=ln(2) ). You must include an equals sign. Do not use decimal numbers.

## Homework Equations

(5+7y^2)dy/dx +(4x+2)y = 0, y(1)=1

## The Attempt at a Solution

had a try at using integrating factor but having the equation = 0 doesn't really help

then tried breaking them up into seperable equations

((5+y^2)/y)dy = (-4x-2)dx

integrated and got f(x,y)=5lny+y^2-2x^2-2x+9/2