Differential equation

**math_Newbie** · Feb 5th 2008, 10:08 AM

Help I have no clue how to tackle this question:

Find the particular solution of:

dy/dx - 1/x y = x^2 - 3, y(1) = 1/2

Please can anyone give me some help with this one?

Any help would be appreciated!!

Thank you.

**bobak** · Feb 5th 2008, 10:23 AM

This is a pretty standard First Order Differential equation.

the integrating factor is $I.F = e^{ \int \frac{-1}{x}}$

I will leave you to simply that.
then you should know that $\frac{d}{dx} \left ( y \cdot I.F \right ) = I.F (x^2-3)$

and the rest should be easy, dont forget your constant for integration.

Thread: Differential equation

LinkBack

Thread Tools

Display

Differential equation

Similar Math Help Forum Discussions

[SOLVED] Partial Differential Equation satisfy corresponding equation

Transforming a differential equation into another differential equation

problem on matrix ricaati equation for nonlinear singular differential equation

[SOLVED] Solve Differential equation for the original equation

Partial differential equation-wave equation - dimensional analysis

Search Tags