# Solving First Order Separable Ordinary Differential Equation With Initial Value

Solve the initial value problem

dy/dx=(3x^2+4x+2)/[2(y-1)], y(0)=-1

https://brainmass.com/math/ordinary-differential-equations/solving-first-order-separable-ordinary-differential-equation-initial-value-8584

#### Solution Preview

Solution : From the equation we have

2(y-1)dy-(3x^2+4x+2)dx=0 , thus 2(y-1)dy=(3x^2+4x+2)dx. It is a ...

#### Solution Summary

An initial-value problem is solved. The differential equations are discussed.

$2.19