Find an explicit particular sol'n of the initial value problem x*(dx/dy)-y=2x^2 *y.

Bernard Boyer 2022-07-26 Answered
Find an explicit particular sol'n of the initial value problem x ( d x / d y ) y = 2 x 2 y
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Answers (1)

Jamarion Roth
Answered 2022-07-27 Author has 13 answers
x ( d x / d y ) y = 2 x 2 y
x y = y ( 1 + 2 x 2 )
y / y = ( 1 + 2 x 2 ) / x this is a separable diff. eqn.
d y y = ( 1 + 2 x 2 ) x d x
d y y d y = ( 1 + 2 x 2 ) x d x = ( 1 x + 2 x ) d x
ln ( y ) = ln ( x ) + x 2 + c
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