# Mathematical Methods in the Physical Sciences

Find the general Solution of each of the following differential equations.

y^1 + xy = sin x

(x^2)(y^11) + 2xy^1 + y = x^2

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:59 pm ad1c9bdddfhttps://brainmass.com/physics/work/mathematical-methods-physical-sciences-75397

#### Solution Preview

Please see the attached file.

Problem

Find the general solution of

1)

2)

Solution

1) Starting with

Consider what happens when you multiplier through by which acts as an integrating factor

Unfortunately the integral cannot be simplified in any meaningful ...

#### Solution Summary

This Solution contains over 100 and calculations words to aid you in understanding the Solution to these questions.

$2.49