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2
) a x y  3xy  4y  0 , y  x 2 ;
1
e x
) б xy  2y  xy  0 , y  .
1
x

3. To find the common decision LNDE, knowing the
partial decision of the proper homogeneous Equation :

1
2
3
)a x y  xy  y  3x , y  ;
1
x
x 3
2
)б xy  2xy  (x  2)y  , y  x sin x
1
cos x

4. To find the common decision LNDE-n, knowing the
common decision of the proper homogeneous Equation :

1

)a y  4y  , y  C 1 cos2x  C 2 sin 2x
cos2x
2

.
) б y  y  tg x , y  C 1 cos x C 2 sin x

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